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Finding the Fourth Proportional to 65,839.80, 98,759.70 and 48,343.80

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Solution

The fourth proportional to 65,839.80, 98,759.70 and 48,343.80 is: 72,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,839.80 : 98,759.70 = 48,343.80 : x
  2. Step 2: Convert to fraction form
    65,839.80/98,759.70 = 48,343.80/x
  3. Step 3: Cross multiply
    65,839.80x = 98,759.70 × 48,343.80
  4. Step 4: Simplify right side
    65,839.80x = 4,774,419,184.86
  5. Step 5: Solve for x
    x = 4,774,419,184.86/65,839.80
  6. Step 6: Final answer
    x = 72,515.70

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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.