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Finding the Fourth Proportional to 206,808.71, 285,509.61 and 125,152.20

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Solution

The fourth proportional to 206,808.71, 285,509.61 and 125,152.20 is: 172,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,808.71 : 285,509.61 = 125,152.20 : x
  2. Step 2: Convert to fraction form
    206,808.71/285,509.61 = 125,152.20/x
  3. Step 3: Cross multiply
    206,808.71x = 285,509.61 × 125,152.20
  4. Step 4: Simplify right side
    206,808.71x = 35,732,155,812.64
  5. Step 5: Solve for x
    x = 35,732,155,812.64/206,808.71
  6. Step 6: Final answer
    x = 172,778.78

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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.