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Finding the Fourth Proportional to 192,034.80, 287,663.40 and 132,937.20

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Solution

The fourth proportional to 192,034.80, 287,663.40 and 132,937.20 is: 199,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,034.80 : 287,663.40 = 132,937.20 : x
  2. Step 2: Convert to fraction form
    192,034.80/287,663.40 = 132,937.20/x
  3. Step 3: Cross multiply
    192,034.80x = 287,663.40 × 132,937.20
  4. Step 4: Simplify right side
    192,034.80x = 38,241,166,938.48
  5. Step 5: Solve for x
    x = 38,241,166,938.48/192,034.80
  6. Step 6: Final answer
    x = 199,136.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.