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Finding the Fourth Proportional to 83,296.50, 124,935.57 and 20,967

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Solution

The fourth proportional to 83,296.50, 124,935.57 and 20,967 is: 31,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,296.50 : 124,935.57 = 20,967 : x
  2. Step 2: Convert to fraction form
    83,296.50/124,935.57 = 20,967/x
  3. Step 3: Cross multiply
    83,296.50x = 124,935.57 × 20,967
  4. Step 4: Simplify right side
    83,296.50x = 2,619,524,096.19
  5. Step 5: Solve for x
    x = 2,619,524,096.19/83,296.50
  6. Step 6: Final answer
    x = 31,448.19

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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.