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Finding the Fourth Proportional to 138,761.80, 191,508.24 and 85,054.48

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Solution

The fourth proportional to 138,761.80, 191,508.24 and 85,054.48 is: 117,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,761.80 : 191,508.24 = 85,054.48 : x
  2. Step 2: Convert to fraction form
    138,761.80/191,508.24 = 85,054.48/x
  3. Step 3: Cross multiply
    138,761.80x = 191,508.24 × 85,054.48
  4. Step 4: Simplify right side
    138,761.80x = 16,288,633,768.92
  5. Step 5: Solve for x
    x = 16,288,633,768.92/138,761.80
  6. Step 6: Final answer
    x = 117,385.58

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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.