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Finding the Fourth Proportional to 86,587.80, 129,816.90 and 47,189.40

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Solution

The fourth proportional to 86,587.80, 129,816.90 and 47,189.40 is: 70,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,587.80 : 129,816.90 = 47,189.40 : x
  2. Step 2: Convert to fraction form
    86,587.80/129,816.90 = 47,189.40/x
  3. Step 3: Cross multiply
    86,587.80x = 129,816.90 × 47,189.40
  4. Step 4: Simplify right side
    86,587.80x = 6,125,981,620.86
  5. Step 5: Solve for x
    x = 6,125,981,620.86/86,587.80
  6. Step 6: Final answer
    x = 70,748.78

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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.