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Finding the Fourth Proportional to 99,887.53, 137,839.25 and 54,556.48

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Solution

The fourth proportional to 99,887.53, 137,839.25 and 54,556.48 is: 75,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,887.53 : 137,839.25 = 54,556.48 : x
  2. Step 2: Convert to fraction form
    99,887.53/137,839.25 = 54,556.48/x
  3. Step 3: Cross multiply
    99,887.53x = 137,839.25 × 54,556.48
  4. Step 4: Simplify right side
    99,887.53x = 7,520,024,285.84
  5. Step 5: Solve for x
    x = 7,520,024,285.84/99,887.53
  6. Step 6: Final answer
    x = 75,284.92

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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.