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Finding the Fourth Proportional to 86,471.80, 129,635.70 and 36,590.20

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Solution

The fourth proportional to 86,471.80, 129,635.70 and 36,590.20 is: 54,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,471.80 : 129,635.70 = 36,590.20 : x
  2. Step 2: Convert to fraction form
    86,471.80/129,635.70 = 36,590.20/x
  3. Step 3: Cross multiply
    86,471.80x = 129,635.70 × 36,590.20
  4. Step 4: Simplify right side
    86,471.80x = 4,743,396,190.14
  5. Step 5: Solve for x
    x = 4,743,396,190.14/86,471.80
  6. Step 6: Final answer
    x = 54,854.83

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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.