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Finding the Fourth Proportional to 101,251.67, 151,915.77 and 42,082.38

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Solution

The fourth proportional to 101,251.67, 151,915.77 and 42,082.38 is: 63,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,251.67 : 151,915.77 = 42,082.38 : x
  2. Step 2: Convert to fraction form
    101,251.67/151,915.77 = 42,082.38/x
  3. Step 3: Cross multiply
    101,251.67x = 151,915.77 × 42,082.38
  4. Step 4: Simplify right side
    101,251.67x = 6,392,977,161.13
  5. Step 5: Solve for x
    x = 6,392,977,161.13/101,251.67
  6. Step 6: Final answer
    x = 63,139.48

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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.