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Finding the Fourth Proportional to 131,505.84, 181,474.68 and 71,886

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Solution

The fourth proportional to 131,505.84, 181,474.68 and 71,886 is: 99,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,505.84 : 181,474.68 = 71,886 : x
  2. Step 2: Convert to fraction form
    131,505.84/181,474.68 = 71,886/x
  3. Step 3: Cross multiply
    131,505.84x = 181,474.68 × 71,886
  4. Step 4: Simplify right side
    131,505.84x = 13,045,488,846.48
  5. Step 5: Solve for x
    x = 13,045,488,846.48/131,505.84
  6. Step 6: Final answer
    x = 99,200.83

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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.