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Finding the Fourth Proportional to 131,170.79, 181,042.59 and 83,414.91

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Solution

The fourth proportional to 131,170.79, 181,042.59 and 83,414.91 is: 115,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,170.79 : 181,042.59 = 83,414.91 : x
  2. Step 2: Convert to fraction form
    131,170.79/181,042.59 = 83,414.91/x
  3. Step 3: Cross multiply
    131,170.79x = 181,042.59 × 83,414.91
  4. Step 4: Simplify right side
    131,170.79x = 15,101,652,342.73
  5. Step 5: Solve for x
    x = 15,101,652,342.73/131,170.79
  6. Step 6: Final answer
    x = 115,129.69

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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.