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Finding the Fourth Proportional to 132,612, 198,959.51 and 85,280.54

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Solution

The fourth proportional to 132,612, 198,959.51 and 85,280.54 is: 127,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,612 : 198,959.51 = 85,280.54 : x
  2. Step 2: Convert to fraction form
    132,612/198,959.51 = 85,280.54/x
  3. Step 3: Cross multiply
    132,612x = 198,959.51 × 85,280.54
  4. Step 4: Simplify right side
    132,612x = 16,967,373,029.74
  5. Step 5: Solve for x
    x = 16,967,373,029.74/132,612
  6. Step 6: Final answer
    x = 127,947.49

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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.