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Finding the Fourth Proportional to 64,891.50, 89,469.14 and 54,151.85

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Solution

The fourth proportional to 64,891.50, 89,469.14 and 54,151.85 is: 74,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,891.50 : 89,469.14 = 54,151.85 : x
  2. Step 2: Convert to fraction form
    64,891.50/89,469.14 = 54,151.85/x
  3. Step 3: Cross multiply
    64,891.50x = 89,469.14 × 54,151.85
  4. Step 4: Simplify right side
    64,891.50x = 4,844,918,730.80
  5. Step 5: Solve for x
    x = 4,844,918,730.80/64,891.50
  6. Step 6: Final answer
    x = 74,661.84

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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.