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Finding the Fourth Proportional to 82,475.34, 123,712.68 and 29,872.50

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Solution

The fourth proportional to 82,475.34, 123,712.68 and 29,872.50 is: 44,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,475.34 : 123,712.68 = 29,872.50 : x
  2. Step 2: Convert to fraction form
    82,475.34/123,712.68 = 29,872.50/x
  3. Step 3: Cross multiply
    82,475.34x = 123,712.68 × 29,872.50
  4. Step 4: Simplify right side
    82,475.34x = 3,695,607,033.30
  5. Step 5: Solve for x
    x = 3,695,607,033.30/82,475.34
  6. Step 6: Final answer
    x = 44,808.63

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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.