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Finding the Fourth Proportional to 132,137.88, 198,206.91 and 38,643.72

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Solution

The fourth proportional to 132,137.88, 198,206.91 and 38,643.72 is: 57,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,137.88 : 198,206.91 = 38,643.72 : x
  2. Step 2: Convert to fraction form
    132,137.88/198,206.91 = 38,643.72/x
  3. Step 3: Cross multiply
    132,137.88x = 198,206.91 × 38,643.72
  4. Step 4: Simplify right side
    132,137.88x = 7,659,452,332.11
  5. Step 5: Solve for x
    x = 7,659,452,332.11/132,137.88
  6. Step 6: Final answer
    x = 57,965.61

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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.