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Finding the Fourth Proportional to 99,420, 137,199.60 and 54,708

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Solution

The fourth proportional to 99,420, 137,199.60 and 54,708 is: 75,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,420 : 137,199.60 = 54,708 : x
  2. Step 2: Convert to fraction form
    99,420/137,199.60 = 54,708/x
  3. Step 3: Cross multiply
    99,420x = 137,199.60 × 54,708
  4. Step 4: Simplify right side
    99,420x = 7,505,915,716.80
  5. Step 5: Solve for x
    x = 7,505,915,716.80/99,420
  6. Step 6: Final answer
    x = 75,497.04

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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.