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Finding the Fourth Proportional to 82,657.20, 123,985.80 and 20,327.70

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Solution

The fourth proportional to 82,657.20, 123,985.80 and 20,327.70 is: 30,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,657.20 : 123,985.80 = 20,327.70 : x
  2. Step 2: Convert to fraction form
    82,657.20/123,985.80 = 20,327.70/x
  3. Step 3: Cross multiply
    82,657.20x = 123,985.80 × 20,327.70
  4. Step 4: Simplify right side
    82,657.20x = 2,520,346,146.66
  5. Step 5: Solve for x
    x = 2,520,346,146.66/82,657.20
  6. Step 6: Final answer
    x = 30,491.55

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Similar ratio
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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.