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Finding the Fourth Proportional to 82,176.90, 123,046.65 and 52,433.70

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Solution

The fourth proportional to 82,176.90, 123,046.65 and 52,433.70 is: 78,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,176.90 : 123,046.65 = 52,433.70 : x
  2. Step 2: Convert to fraction form
    82,176.90/123,046.65 = 52,433.70/x
  3. Step 3: Cross multiply
    82,176.90x = 123,046.65 × 52,433.70
  4. Step 4: Simplify right side
    82,176.90x = 6,451,791,132.11
  5. Step 5: Solve for x
    x = 6,451,791,132.11/82,176.90
  6. Step 6: Final answer
    x = 78,511.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.