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Finding the Fourth Proportional to 198,251.70, 297,316.80 and 65,101.20

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Solution

The fourth proportional to 198,251.70, 297,316.80 and 65,101.20 is: 97,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,251.70 : 297,316.80 = 65,101.20 : x
  2. Step 2: Convert to fraction form
    198,251.70/297,316.80 = 65,101.20/x
  3. Step 3: Cross multiply
    198,251.70x = 297,316.80 × 65,101.20
  4. Step 4: Simplify right side
    198,251.70x = 19,355,680,460.16
  5. Step 5: Solve for x
    x = 19,355,680,460.16/198,251.70
  6. Step 6: Final answer
    x = 97,631.85

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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.