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Finding the Fourth Proportional to 218,964.56, 328,468.92 and 78,777.68

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Solution

The fourth proportional to 218,964.56, 328,468.92 and 78,777.68 is: 118,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,964.56 : 328,468.92 = 78,777.68 : x
  2. Step 2: Convert to fraction form
    218,964.56/328,468.92 = 78,777.68/x
  3. Step 3: Cross multiply
    218,964.56x = 328,468.92 × 78,777.68
  4. Step 4: Simplify right side
    218,964.56x = 25,876,019,469.71
  5. Step 5: Solve for x
    x = 25,876,019,469.71/218,964.56
  6. Step 6: Final answer
    x = 118,174.46

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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.