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Finding the Fourth Proportional to 206,471.92, 284,970.16 and 134,727.40

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Solution

The fourth proportional to 206,471.92, 284,970.16 and 134,727.40 is: 185,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,471.92 : 284,970.16 = 134,727.40 : x
  2. Step 2: Convert to fraction form
    206,471.92/284,970.16 = 134,727.40/x
  3. Step 3: Cross multiply
    206,471.92x = 284,970.16 × 134,727.40
  4. Step 4: Simplify right side
    206,471.92x = 38,393,288,734.38
  5. Step 5: Solve for x
    x = 38,393,288,734.38/206,471.92
  6. Step 6: Final answer
    x = 185,949.20

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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.