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Finding the Fourth Proportional to 145,359.60, 217,909.80 and 86,132.40

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Solution

The fourth proportional to 145,359.60, 217,909.80 and 86,132.40 is: 129,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,359.60 : 217,909.80 = 86,132.40 : x
  2. Step 2: Convert to fraction form
    145,359.60/217,909.80 = 86,132.40/x
  3. Step 3: Cross multiply
    145,359.60x = 217,909.80 × 86,132.40
  4. Step 4: Simplify right side
    145,359.60x = 18,769,094,057.52
  5. Step 5: Solve for x
    x = 18,769,094,057.52/145,359.60
  6. Step 6: Final answer
    x = 129,121.81

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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.