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Finding the Fourth Proportional to 99,829.78, 137,770.68 and 54,511.98

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Solution

The fourth proportional to 99,829.78, 137,770.68 and 54,511.98 is: 75,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,829.78 : 137,770.68 = 54,511.98 : x
  2. Step 2: Convert to fraction form
    99,829.78/137,770.68 = 54,511.98/x
  3. Step 3: Cross multiply
    99,829.78x = 137,770.68 × 54,511.98
  4. Step 4: Simplify right side
    99,829.78x = 7,510,151,591.33
  5. Step 5: Solve for x
    x = 7,510,151,591.33/99,829.78
  6. Step 6: Final answer
    x = 75,229.58

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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.