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Finding the Fourth Proportional to 78,575.56, 108,454.68 and 49,909

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Solution

The fourth proportional to 78,575.56, 108,454.68 and 49,909 is: 68,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,575.56 : 108,454.68 = 49,909 : x
  2. Step 2: Convert to fraction form
    78,575.56/108,454.68 = 49,909/x
  3. Step 3: Cross multiply
    78,575.56x = 108,454.68 × 49,909
  4. Step 4: Simplify right side
    78,575.56x = 5,412,864,624.12
  5. Step 5: Solve for x
    x = 5,412,864,624.12/78,575.56
  6. Step 6: Final answer
    x = 68,887.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.