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Finding the Fourth Proportional to 157,646.80, 235,957.96 and 86,389.88

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Solution

The fourth proportional to 157,646.80, 235,957.96 and 86,389.88 is: 129,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,646.80 : 235,957.96 = 86,389.88 : x
  2. Step 2: Convert to fraction form
    157,646.80/235,957.96 = 86,389.88/x
  3. Step 3: Cross multiply
    157,646.80x = 235,957.96 × 86,389.88
  4. Step 4: Simplify right side
    157,646.80x = 20,384,379,849.44
  5. Step 5: Solve for x
    x = 20,384,379,849.44/157,646.80
  6. Step 6: Final answer
    x = 129,304.11

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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.