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Finding the Fourth Proportional to 99,508.38, 149,174.34 and 71,357.64

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Solution

The fourth proportional to 99,508.38, 149,174.34 and 71,357.64 is: 106,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,508.38 : 149,174.34 = 71,357.64 : x
  2. Step 2: Convert to fraction form
    99,508.38/149,174.34 = 71,357.64/x
  3. Step 3: Cross multiply
    99,508.38x = 149,174.34 × 71,357.64
  4. Step 4: Simplify right side
    99,508.38x = 10,644,728,850.96
  5. Step 5: Solve for x
    x = 10,644,728,850.96/99,508.38
  6. Step 6: Final answer
    x = 106,973.19

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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.