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Finding the Fourth Proportional to 149,658.38, 206,474.42 and 115,213.64

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Solution

The fourth proportional to 149,658.38, 206,474.42 and 115,213.64 is: 158,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,658.38 : 206,474.42 = 115,213.64 : x
  2. Step 2: Convert to fraction form
    149,658.38/206,474.42 = 115,213.64/x
  3. Step 3: Cross multiply
    149,658.38x = 206,474.42 × 115,213.64
  4. Step 4: Simplify right side
    149,658.38x = 23,788,669,264.09
  5. Step 5: Solve for x
    x = 23,788,669,264.09/149,658.38
  6. Step 6: Final answer
    x = 158,953.13

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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.