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Finding the Fourth Proportional to 206,142.84, 284,487.39 and 125,557.47

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Solution

The fourth proportional to 206,142.84, 284,487.39 and 125,557.47 is: 173,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142.84 : 284,487.39 = 125,557.47 : x
  2. Step 2: Convert to fraction form
    206,142.84/284,487.39 = 125,557.47/x
  3. Step 3: Cross multiply
    206,142.84x = 284,487.39 × 125,557.47
  4. Step 4: Simplify right side
    206,142.84x = 35,719,516,935.30
  5. Step 5: Solve for x
    x = 35,719,516,935.30/206,142.84
  6. Step 6: Final answer
    x = 173,275.56

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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.