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Finding the Fourth Proportional to 101,217.60, 151,729.20 and 78,715.80

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Solution

The fourth proportional to 101,217.60, 151,729.20 and 78,715.80 is: 117,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,217.60 : 151,729.20 = 78,715.80 : x
  2. Step 2: Convert to fraction form
    101,217.60/151,729.20 = 78,715.80/x
  3. Step 3: Cross multiply
    101,217.60x = 151,729.20 × 78,715.80
  4. Step 4: Simplify right side
    101,217.60x = 11,943,485,361.36
  5. Step 5: Solve for x
    x = 11,943,485,361.36/101,217.60
  6. Step 6: Final answer
    x = 117,998.11

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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.