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Finding the Fourth Proportional to 131,175.80, 181,049.50 and 83,419.92

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Solution

The fourth proportional to 131,175.80, 181,049.50 and 83,419.92 is: 115,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,175.80 : 181,049.50 = 83,419.92 : x
  2. Step 2: Convert to fraction form
    131,175.80/181,049.50 = 83,419.92/x
  3. Step 3: Cross multiply
    131,175.80x = 181,049.50 × 83,419.92
  4. Step 4: Simplify right side
    131,175.80x = 15,103,134,806.04
  5. Step 5: Solve for x
    x = 15,103,134,806.04/131,175.80
  6. Step 6: Final answer
    x = 115,136.59

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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.