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Finding the Fourth Proportional to 86,582.20, 129,873.30 and 71,807.80

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Solution

The fourth proportional to 86,582.20, 129,873.30 and 71,807.80 is: 107,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,582.20 : 129,873.30 = 71,807.80 : x
  2. Step 2: Convert to fraction form
    86,582.20/129,873.30 = 71,807.80/x
  3. Step 3: Cross multiply
    86,582.20x = 129,873.30 × 71,807.80
  4. Step 4: Simplify right side
    86,582.20x = 9,325,915,951.74
  5. Step 5: Solve for x
    x = 9,325,915,951.74/86,582.20
  6. Step 6: Final answer
    x = 107,711.70

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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.