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Finding the Fourth Proportional to 206,398.71, 309,641.79 and 66,255.75

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Solution

The fourth proportional to 206,398.71, 309,641.79 and 66,255.75 is: 99,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,398.71 : 309,641.79 = 66,255.75 : x
  2. Step 2: Convert to fraction form
    206,398.71/309,641.79 = 66,255.75/x
  3. Step 3: Cross multiply
    206,398.71x = 309,641.79 × 66,255.75
  4. Step 4: Simplify right side
    206,398.71x = 20,515,549,027.79
  5. Step 5: Solve for x
    x = 20,515,549,027.79/206,398.71
  6. Step 6: Final answer
    x = 99,397.66

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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.