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Finding the Fourth Proportional to 143,870, 198,538.32 and 80,211.68

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Solution

The fourth proportional to 143,870, 198,538.32 and 80,211.68 is: 110,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,870 : 198,538.32 = 80,211.68 : x
  2. Step 2: Convert to fraction form
    143,870/198,538.32 = 80,211.68/x
  3. Step 3: Cross multiply
    143,870x = 198,538.32 × 80,211.68
  4. Step 4: Simplify right side
    143,870x = 15,925,092,191.58
  5. Step 5: Solve for x
    x = 15,925,092,191.58/143,870
  6. Step 6: Final answer
    x = 110,690.85

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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.