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Finding the Fourth Proportional to 198,000, 296,256 and 138,950.88

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Solution

The fourth proportional to 198,000, 296,256 and 138,950.88 is: 207,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,000 : 296,256 = 138,950.88 : x
  2. Step 2: Convert to fraction form
    198,000/296,256 = 138,950.88/x
  3. Step 3: Cross multiply
    198,000x = 296,256 × 138,950.88
  4. Step 4: Simplify right side
    198,000x = 41,165,031,905.28
  5. Step 5: Solve for x
    x = 41,165,031,905.28/198,000
  6. Step 6: Final answer
    x = 207,904.20

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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.