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Finding the Fourth Proportional to 132,212.88, 198,398.10 and 47,979.60

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Solution

The fourth proportional to 132,212.88, 198,398.10 and 47,979.60 is: 71,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,212.88 : 198,398.10 = 47,979.60 : x
  2. Step 2: Convert to fraction form
    132,212.88/198,398.10 = 47,979.60/x
  3. Step 3: Cross multiply
    132,212.88x = 198,398.10 × 47,979.60
  4. Step 4: Simplify right side
    132,212.88x = 9,519,061,478.76
  5. Step 5: Solve for x
    x = 9,519,061,478.76/132,212.88
  6. Step 6: Final answer
    x = 71,997.99

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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.