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Finding the Fourth Proportional to 198,315.92, 297,592.08 and 71,966.03

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Solution

The fourth proportional to 198,315.92, 297,592.08 and 71,966.03 is: 107,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,315.92 : 297,592.08 = 71,966.03 : x
  2. Step 2: Convert to fraction form
    198,315.92/297,592.08 = 71,966.03/x
  3. Step 3: Cross multiply
    198,315.92x = 297,592.08 × 71,966.03
  4. Step 4: Simplify right side
    198,315.92x = 21,416,519,069.08
  5. Step 5: Solve for x
    x = 21,416,519,069.08/198,315.92
  6. Step 6: Final answer
    x = 107,991.93

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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.