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Finding the Fourth Proportional to 89,629.87, 134,527.88 and 45,287.78

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Solution

The fourth proportional to 89,629.87, 134,527.88 and 45,287.78 is: 67,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,629.87 : 134,527.88 = 45,287.78 : x
  2. Step 2: Convert to fraction form
    89,629.87/134,527.88 = 45,287.78/x
  3. Step 3: Cross multiply
    89,629.87x = 134,527.88 × 45,287.78
  4. Step 4: Simplify right side
    89,629.87x = 6,092,469,033.31
  5. Step 5: Solve for x
    x = 6,092,469,033.31/89,629.87
  6. Step 6: Final answer
    x = 67,973.65

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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.