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Finding the Fourth Proportional to 57,780.20, 86,540.70 and 47,412.20

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Solution

The fourth proportional to 57,780.20, 86,540.70 and 47,412.20 is: 71,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780.20 : 86,540.70 = 47,412.20 : x
  2. Step 2: Convert to fraction form
    57,780.20/86,540.70 = 47,412.20/x
  3. Step 3: Cross multiply
    57,780.20x = 86,540.70 × 47,412.20
  4. Step 4: Simplify right side
    57,780.20x = 4,103,084,976.54
  5. Step 5: Solve for x
    x = 4,103,084,976.54/57,780.20
  6. Step 6: Final answer
    x = 71,011.96

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1.5x scale

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.