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Finding the Fourth Proportional to 64,632.70, 89,198.31 and 48,691.90

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Solution

The fourth proportional to 64,632.70, 89,198.31 and 48,691.90 is: 67,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,632.70 : 89,198.31 = 48,691.90 : x
  2. Step 2: Convert to fraction form
    64,632.70/89,198.31 = 48,691.90/x
  3. Step 3: Cross multiply
    64,632.70x = 89,198.31 × 48,691.90
  4. Step 4: Simplify right side
    64,632.70x = 4,343,235,190.69
  5. Step 5: Solve for x
    x = 4,343,235,190.69/64,632.70
  6. Step 6: Final answer
    x = 67,198.73

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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.