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Finding the Fourth Proportional to 82,425.32, 123,638.11 and 29,822.50

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Solution

The fourth proportional to 82,425.32, 123,638.11 and 29,822.50 is: 44,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,425.32 : 123,638.11 = 29,822.50 : x
  2. Step 2: Convert to fraction form
    82,425.32/123,638.11 = 29,822.50/x
  3. Step 3: Cross multiply
    82,425.32x = 123,638.11 × 29,822.50
  4. Step 4: Simplify right side
    82,425.32x = 3,687,196,768.17
  5. Step 5: Solve for x
    x = 3,687,196,768.17/82,425.32
  6. Step 6: Final answer
    x = 44,733.79

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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.