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Finding the Fourth Proportional to 198,471.65, 297,753.60 and 65,353.07

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Solution

The fourth proportional to 198,471.65, 297,753.60 and 65,353.07 is: 98,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,471.65 : 297,753.60 = 65,353.07 : x
  2. Step 2: Convert to fraction form
    198,471.65/297,753.60 = 65,353.07/x
  3. Step 3: Cross multiply
    198,471.65x = 297,753.60 × 65,353.07
  4. Step 4: Simplify right side
    198,471.65x = 19,459,110,374.78
  5. Step 5: Solve for x
    x = 19,459,110,374.78/198,471.65
  6. Step 6: Final answer
    x = 98,044.79

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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.