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Finding the Fourth Proportional to 198,073.26, 297,139.32 and 71,722.98

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Solution

The fourth proportional to 198,073.26, 297,139.32 and 71,722.98 is: 107,595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,073.26 : 297,139.32 = 71,722.98 : x
  2. Step 2: Convert to fraction form
    198,073.26/297,139.32 = 71,722.98/x
  3. Step 3: Cross multiply
    198,073.26x = 297,139.32 × 71,722.98
  4. Step 4: Simplify right side
    198,073.26x = 21,311,717,505.57
  5. Step 5: Solve for x
    x = 21,311,717,505.57/198,073.26
  6. Step 6: Final answer
    x = 107,595.13

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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.