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Finding the Fourth Proportional to 133,114.70, 199,672.05 and 83,251.10

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Solution

The fourth proportional to 133,114.70, 199,672.05 and 83,251.10 is: 124,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,114.70 : 199,672.05 = 83,251.10 : x
  2. Step 2: Convert to fraction form
    133,114.70/199,672.05 = 83,251.10/x
  3. Step 3: Cross multiply
    133,114.70x = 199,672.05 × 83,251.10
  4. Step 4: Simplify right side
    133,114.70x = 16,622,917,801.76
  5. Step 5: Solve for x
    x = 16,622,917,801.76/133,114.70
  6. Step 6: Final answer
    x = 124,876.65

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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.