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Finding the Fourth Proportional to 206,426.52, 309,565.47 and 71,453.91

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Solution

The fourth proportional to 206,426.52, 309,565.47 and 71,453.91 is: 107,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,426.52 : 309,565.47 = 71,453.91 : x
  2. Step 2: Convert to fraction form
    206,426.52/309,565.47 = 71,453.91/x
  3. Step 3: Cross multiply
    206,426.52x = 309,565.47 × 71,453.91
  4. Step 4: Simplify right side
    206,426.52x = 22,119,664,661.31
  5. Step 5: Solve for x
    x = 22,119,664,661.31/206,426.52
  6. Step 6: Final answer
    x = 107,155.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.