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Finding the Fourth Proportional to 89,049, 133,456.86 and 49,624.68

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Solution

The fourth proportional to 89,049, 133,456.86 and 49,624.68 is: 74,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,049 : 133,456.86 = 49,624.68 : x
  2. Step 2: Convert to fraction form
    89,049/133,456.86 = 49,624.68/x
  3. Step 3: Cross multiply
    89,049x = 133,456.86 × 49,624.68
  4. Step 4: Simplify right side
    89,049x = 6,622,753,971.30
  5. Step 5: Solve for x
    x = 6,622,753,971.30/89,049
  6. Step 6: Final answer
    x = 74,372.02

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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.