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Finding the Fourth Proportional to 198,674.66, 297,851.51 and 65,471.78

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Solution

The fourth proportional to 198,674.66, 297,851.51 and 65,471.78 is: 98,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,674.66 : 297,851.51 = 65,471.78 : x
  2. Step 2: Convert to fraction form
    198,674.66/297,851.51 = 65,471.78/x
  3. Step 3: Cross multiply
    198,674.66x = 297,851.51 × 65,471.78
  4. Step 4: Simplify right side
    198,674.66x = 19,500,867,209.81
  5. Step 5: Solve for x
    x = 19,500,867,209.81/198,674.66
  6. Step 6: Final answer
    x = 98,154.78

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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.