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Finding the Fourth Proportional to 99,652, 137,519.76 and 54,940

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Solution

The fourth proportional to 99,652, 137,519.76 and 54,940 is: 75,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,652 : 137,519.76 = 54,940 : x
  2. Step 2: Convert to fraction form
    99,652/137,519.76 = 54,940/x
  3. Step 3: Cross multiply
    99,652x = 137,519.76 × 54,940
  4. Step 4: Simplify right side
    99,652x = 7,555,335,614.40
  5. Step 5: Solve for x
    x = 7,555,335,614.40/99,652
  6. Step 6: Final answer
    x = 75,817.20

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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.