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Finding the Fourth Proportional to 131,708.88, 181,761.03 and 77,974.29

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Solution

The fourth proportional to 131,708.88, 181,761.03 and 77,974.29 is: 107,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,708.88 : 181,761.03 = 77,974.29 : x
  2. Step 2: Convert to fraction form
    131,708.88/181,761.03 = 77,974.29/x
  3. Step 3: Cross multiply
    131,708.88x = 181,761.03 × 77,974.29
  4. Step 4: Simplify right side
    131,708.88x = 14,172,687,263.92
  5. Step 5: Solve for x
    x = 14,172,687,263.92/131,708.88
  6. Step 6: Final answer
    x = 107,606.16

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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.