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Finding the Fourth Proportional to 218,691.58, 327,988.14 and 78,450.20

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Solution

The fourth proportional to 218,691.58, 327,988.14 and 78,450.20 is: 117,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,691.58 : 327,988.14 = 78,450.20 : x
  2. Step 2: Convert to fraction form
    218,691.58/327,988.14 = 78,450.20/x
  3. Step 3: Cross multiply
    218,691.58x = 327,988.14 × 78,450.20
  4. Step 4: Simplify right side
    218,691.58x = 25,730,735,180.63
  5. Step 5: Solve for x
    x = 25,730,735,180.63/218,691.58
  6. Step 6: Final answer
    x = 117,657.64

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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.