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Finding the Fourth Proportional to 101,272.38, 151,765.96 and 77,487.84

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Solution

The fourth proportional to 101,272.38, 151,765.96 and 77,487.84 is: 116,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,272.38 : 151,765.96 = 77,487.84 : x
  2. Step 2: Convert to fraction form
    101,272.38/151,765.96 = 77,487.84/x
  3. Step 3: Cross multiply
    101,272.38x = 151,765.96 × 77,487.84
  4. Step 4: Simplify right side
    101,272.38x = 11,760,016,425.93
  5. Step 5: Solve for x
    x = 11,760,016,425.93/101,272.38
  6. Step 6: Final answer
    x = 116,122.64

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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.