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Finding the Fourth Proportional to 83,164.34, 114,817.64 and 54,120.38

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Solution

The fourth proportional to 83,164.34, 114,817.64 and 54,120.38 is: 74,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,164.34 : 114,817.64 = 54,120.38 : x
  2. Step 2: Convert to fraction form
    83,164.34/114,817.64 = 54,120.38/x
  3. Step 3: Cross multiply
    83,164.34x = 114,817.64 × 54,120.38
  4. Step 4: Simplify right side
    83,164.34x = 6,213,974,242.38
  5. Step 5: Solve for x
    x = 6,213,974,242.38/83,164.34
  6. Step 6: Final answer
    x = 74,719.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.