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Finding the Fourth Proportional to 81,136.68, 111,964.62 and 45,319.56

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Solution

The fourth proportional to 81,136.68, 111,964.62 and 45,319.56 is: 62,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,136.68 : 111,964.62 = 45,319.56 : x
  2. Step 2: Convert to fraction form
    81,136.68/111,964.62 = 45,319.56/x
  3. Step 3: Cross multiply
    81,136.68x = 111,964.62 × 45,319.56
  4. Step 4: Simplify right side
    81,136.68x = 5,074,187,313.97
  5. Step 5: Solve for x
    x = 5,074,187,313.97/81,136.68
  6. Step 6: Final answer
    x = 62,538.76

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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.