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Finding the Fourth Proportional to 206,429.48, 309,569.93 and 71,456.88

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Solution

The fourth proportional to 206,429.48, 309,569.93 and 71,456.88 is: 107,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,429.48 : 309,569.93 = 71,456.88 : x
  2. Step 2: Convert to fraction form
    206,429.48/309,569.93 = 71,456.88/x
  3. Step 3: Cross multiply
    206,429.48x = 309,569.93 × 71,456.88
  4. Step 4: Simplify right side
    206,429.48x = 22,120,901,507.13
  5. Step 5: Solve for x
    x = 22,120,901,507.13/206,429.48
  6. Step 6: Final answer
    x = 107,159.60

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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.