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Finding the Fourth Proportional to 198,703.40, 297,972.16 and 80,291.76

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Solution

The fourth proportional to 198,703.40, 297,972.16 and 80,291.76 is: 120,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,703.40 : 297,972.16 = 80,291.76 : x
  2. Step 2: Convert to fraction form
    198,703.40/297,972.16 = 80,291.76/x
  3. Step 3: Cross multiply
    198,703.40x = 297,972.16 × 80,291.76
  4. Step 4: Simplify right side
    198,703.40x = 23,924,709,157.40
  5. Step 5: Solve for x
    x = 23,924,709,157.40/198,703.40
  6. Step 6: Final answer
    x = 120,404.13

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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.