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Finding the Fourth Proportional to 231,639.75, 347,517.95 and 65,427.75

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Solution

The fourth proportional to 231,639.75, 347,517.95 and 65,427.75 is: 98,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,639.75 : 347,517.95 = 65,427.75 : x
  2. Step 2: Convert to fraction form
    231,639.75/347,517.95 = 65,427.75/x
  3. Step 3: Cross multiply
    231,639.75x = 347,517.95 × 65,427.75
  4. Step 4: Simplify right side
    231,639.75x = 22,737,317,225.97
  5. Step 5: Solve for x
    x = 22,737,317,225.97/231,639.75
  6. Step 6: Final answer
    x = 98,158.10

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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.