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Finding the Fourth Proportional to 74,697.88, 103,082.24 and 42,871.80

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Solution

The fourth proportional to 74,697.88, 103,082.24 and 42,871.80 is: 59,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,697.88 : 103,082.24 = 42,871.80 : x
  2. Step 2: Convert to fraction form
    74,697.88/103,082.24 = 42,871.80/x
  3. Step 3: Cross multiply
    74,697.88x = 103,082.24 × 42,871.80
  4. Step 4: Simplify right side
    74,697.88x = 4,419,321,176.83
  5. Step 5: Solve for x
    x = 4,419,321,176.83/74,697.88
  6. Step 6: Final answer
    x = 59,162.61

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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.