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Finding the Fourth Proportional to 206,151.40, 284,487.78 and 116,727.40

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Solution

The fourth proportional to 206,151.40, 284,487.78 and 116,727.40 is: 161,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,151.40 : 284,487.78 = 116,727.40 : x
  2. Step 2: Convert to fraction form
    206,151.40/284,487.78 = 116,727.40/x
  3. Step 3: Cross multiply
    206,151.40x = 284,487.78 × 116,727.40
  4. Step 4: Simplify right side
    206,151.40x = 33,207,518,891.17
  5. Step 5: Solve for x
    x = 33,207,518,891.17/206,151.40
  6. Step 6: Final answer
    x = 161,083.16

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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.