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Finding the Fourth Proportional to 83,214.14, 124,821.21 and 27,810.14

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Solution

The fourth proportional to 83,214.14, 124,821.21 and 27,810.14 is: 41,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,214.14 : 124,821.21 = 27,810.14 : x
  2. Step 2: Convert to fraction form
    83,214.14/124,821.21 = 27,810.14/x
  3. Step 3: Cross multiply
    83,214.14x = 124,821.21 × 27,810.14
  4. Step 4: Simplify right side
    83,214.14x = 3,471,295,325.07
  5. Step 5: Solve for x
    x = 3,471,295,325.07/83,214.14
  6. Step 6: Final answer
    x = 41,715.21

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.