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Finding the Fourth Proportional to 73,976.76, 102,082.68 and 42,139.80

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Solution

The fourth proportional to 73,976.76, 102,082.68 and 42,139.80 is: 58,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,976.76 : 102,082.68 = 42,139.80 : x
  2. Step 2: Convert to fraction form
    73,976.76/102,082.68 = 42,139.80/x
  3. Step 3: Cross multiply
    73,976.76x = 102,082.68 × 42,139.80
  4. Step 4: Simplify right side
    73,976.76x = 4,301,743,718.66
  5. Step 5: Solve for x
    x = 4,301,743,718.66/73,976.76
  6. Step 6: Final answer
    x = 58,149.93

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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.