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Finding the Fourth Proportional to 198,157.40, 297,269.10 and 65,001.90

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Solution

The fourth proportional to 198,157.40, 297,269.10 and 65,001.90 is: 97,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,157.40 : 297,269.10 = 65,001.90 : x
  2. Step 2: Convert to fraction form
    198,157.40/297,269.10 = 65,001.90/x
  3. Step 3: Cross multiply
    198,157.40x = 297,269.10 × 65,001.90
  4. Step 4: Simplify right side
    198,157.40x = 19,323,056,311.29
  5. Step 5: Solve for x
    x = 19,323,056,311.29/198,157.40
  6. Step 6: Final answer
    x = 97,513.68

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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.