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Finding the Fourth Proportional to 99,451, 137,242.39 and 54,739

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Solution

The fourth proportional to 99,451, 137,242.39 and 54,739 is: 75,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,451 : 137,242.39 = 54,739 : x
  2. Step 2: Convert to fraction form
    99,451/137,242.39 = 54,739/x
  3. Step 3: Cross multiply
    99,451x = 137,242.39 × 54,739
  4. Step 4: Simplify right side
    99,451x = 7,512,510,912.52
  5. Step 5: Solve for x
    x = 7,512,510,912.52/99,451
  6. Step 6: Final answer
    x = 75,539.82

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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.