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Finding the Fourth Proportional to 101,234.80, 151,765.80 and 71,559.28

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Solution

The fourth proportional to 101,234.80, 151,765.80 and 71,559.28 is: 107,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,234.80 : 151,765.80 = 71,559.28 : x
  2. Step 2: Convert to fraction form
    101,234.80/151,765.80 = 71,559.28/x
  3. Step 3: Cross multiply
    101,234.80x = 151,765.80 × 71,559.28
  4. Step 4: Simplify right side
    101,234.80x = 10,860,251,376.62
  5. Step 5: Solve for x
    x = 10,860,251,376.62/101,234.80
  6. Step 6: Final answer
    x = 107,277.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.