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Finding the Fourth Proportional to 206,376.81, 284,695.20 and 134,798.73

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Solution

The fourth proportional to 206,376.81, 284,695.20 and 134,798.73 is: 185,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,376.81 : 284,695.20 = 134,798.73 : x
  2. Step 2: Convert to fraction form
    206,376.81/284,695.20 = 134,798.73/x
  3. Step 3: Cross multiply
    206,376.81x = 284,695.20 × 134,798.73
  4. Step 4: Simplify right side
    206,376.81x = 38,376,551,397.10
  5. Step 5: Solve for x
    x = 38,376,551,397.10/206,376.81
  6. Step 6: Final answer
    x = 185,953.80

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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.