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Finding the Fourth Proportional to 198,615.16, 297,963.78 and 65,503.54

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Solution

The fourth proportional to 198,615.16, 297,963.78 and 65,503.54 is: 98,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,615.16 : 297,963.78 = 65,503.54 : x
  2. Step 2: Convert to fraction form
    198,615.16/297,963.78 = 65,503.54/x
  3. Step 3: Cross multiply
    198,615.16x = 297,963.78 × 65,503.54
  4. Step 4: Simplify right side
    198,615.16x = 19,517,682,381.78
  5. Step 5: Solve for x
    x = 19,517,682,381.78/198,615.16
  6. Step 6: Final answer
    x = 98,268.85

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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.