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Finding the Fourth Proportional to 131,770.80, 181,843.79 and 71,341.97

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Solution

The fourth proportional to 131,770.80, 181,843.79 and 71,341.97 is: 98,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,770.80 : 181,843.79 = 71,341.97 : x
  2. Step 2: Convert to fraction form
    131,770.80/181,843.79 = 71,341.97/x
  3. Step 3: Cross multiply
    131,770.80x = 181,843.79 × 71,341.97
  4. Step 4: Simplify right side
    131,770.80x = 12,973,092,944.94
  5. Step 5: Solve for x
    x = 12,973,092,944.94/131,770.80
  6. Step 6: Final answer
    x = 98,451.96

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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.