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Finding the Fourth Proportional to 198,309.52, 297,401.09 and 65,158.88

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Solution

The fourth proportional to 198,309.52, 297,401.09 and 65,158.88 is: 97,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,309.52 : 297,401.09 = 65,158.88 : x
  2. Step 2: Convert to fraction form
    198,309.52/297,401.09 = 65,158.88/x
  3. Step 3: Cross multiply
    198,309.52x = 297,401.09 × 65,158.88
  4. Step 4: Simplify right side
    198,309.52x = 19,378,321,935.18
  5. Step 5: Solve for x
    x = 19,378,321,935.18/198,309.52
  6. Step 6: Final answer
    x = 97,717.56

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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.