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Finding the Fourth Proportional to 123,151.92, 169,836.12 and 92,402.16

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Solution

The fourth proportional to 123,151.92, 169,836.12 and 92,402.16 is: 127,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,151.92 : 169,836.12 = 92,402.16 : x
  2. Step 2: Convert to fraction form
    123,151.92/169,836.12 = 92,402.16/x
  3. Step 3: Cross multiply
    123,151.92x = 169,836.12 × 92,402.16
  4. Step 4: Simplify right side
    123,151.92x = 15,693,224,334.02
  5. Step 5: Solve for x
    x = 15,693,224,334.02/123,151.92
  6. Step 6: Final answer
    x = 127,429.80

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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.