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Finding the Fourth Proportional to 285,937.80, 428,909.80 and 86,259.92

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Solution

The fourth proportional to 285,937.80, 428,909.80 and 86,259.92 is: 129,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,937.80 : 428,909.80 = 86,259.92 : x
  2. Step 2: Convert to fraction form
    285,937.80/428,909.80 = 86,259.92/x
  3. Step 3: Cross multiply
    285,937.80x = 428,909.80 × 86,259.92
  4. Step 4: Simplify right side
    285,937.80x = 36,997,725,035.22
  5. Step 5: Solve for x
    x = 36,997,725,035.22/285,937.80
  6. Step 6: Final answer
    x = 129,390.82

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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.