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Finding the Fourth Proportional to 132,138.84, 198,208.72 and 38,644.59

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Solution

The fourth proportional to 132,138.84, 198,208.72 and 38,644.59 is: 57,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,138.84 : 198,208.72 = 38,644.59 : x
  2. Step 2: Convert to fraction form
    132,138.84/198,208.72 = 38,644.59/x
  3. Step 3: Cross multiply
    132,138.84x = 198,208.72 × 38,644.59
  4. Step 4: Simplify right side
    132,138.84x = 7,659,695,510.41
  5. Step 5: Solve for x
    x = 7,659,695,510.41/132,138.84
  6. Step 6: Final answer
    x = 57,967.02

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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.