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Finding the Fourth Proportional to 106,517.40, 159,581.70 and 64,915.80

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Solution

The fourth proportional to 106,517.40, 159,581.70 and 64,915.80 is: 97,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,517.40 : 159,581.70 = 64,915.80 : x
  2. Step 2: Convert to fraction form
    106,517.40/159,581.70 = 64,915.80/x
  3. Step 3: Cross multiply
    106,517.40x = 159,581.70 × 64,915.80
  4. Step 4: Simplify right side
    106,517.40x = 10,359,373,720.86
  5. Step 5: Solve for x
    x = 10,359,373,720.86/106,517.40
  6. Step 6: Final answer
    x = 97,255.23

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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.