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Finding the Fourth Proportional to 73,981.68, 102,082.80 and 42,151.20

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Solution

The fourth proportional to 73,981.68, 102,082.80 and 42,151.20 is: 58,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,981.68 : 102,082.80 = 42,151.20 : x
  2. Step 2: Convert to fraction form
    73,981.68/102,082.80 = 42,151.20/x
  3. Step 3: Cross multiply
    73,981.68x = 102,082.80 × 42,151.20
  4. Step 4: Simplify right side
    73,981.68x = 4,302,912,519.36
  5. Step 5: Solve for x
    x = 4,302,912,519.36/73,981.68
  6. Step 6: Final answer
    x = 58,161.87

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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.