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Finding the Fourth Proportional to 198,301.95, 297,422.08 and 65,181.28

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Solution

The fourth proportional to 198,301.95, 297,422.08 and 65,181.28 is: 97,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,301.95 : 297,422.08 = 65,181.28 : x
  2. Step 2: Convert to fraction form
    198,301.95/297,422.08 = 65,181.28/x
  3. Step 3: Cross multiply
    198,301.95x = 297,422.08 × 65,181.28
  4. Step 4: Simplify right side
    198,301.95x = 19,386,351,874.66
  5. Step 5: Solve for x
    x = 19,386,351,874.66/198,301.95
  6. Step 6: Final answer
    x = 97,761.78

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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.