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Finding the Fourth Proportional to 143,691.60, 198,276.20 and 83,261.68

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Solution

The fourth proportional to 143,691.60, 198,276.20 and 83,261.68 is: 114,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,691.60 : 198,276.20 = 83,261.68 : x
  2. Step 2: Convert to fraction form
    143,691.60/198,276.20 = 83,261.68/x
  3. Step 3: Cross multiply
    143,691.60x = 198,276.20 × 83,261.68
  4. Step 4: Simplify right side
    143,691.60x = 16,508,809,516.02
  5. Step 5: Solve for x
    x = 16,508,809,516.02/143,691.60
  6. Step 6: Final answer
    x = 114,890.57

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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.