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Finding the Fourth Proportional to 101,704.68, 152,142.30 and 85,115.88

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Solution

The fourth proportional to 101,704.68, 152,142.30 and 85,115.88 is: 127,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,704.68 : 152,142.30 = 85,115.88 : x
  2. Step 2: Convert to fraction form
    101,704.68/152,142.30 = 85,115.88/x
  3. Step 3: Cross multiply
    101,704.68x = 152,142.30 × 85,115.88
  4. Step 4: Simplify right side
    101,704.68x = 12,949,725,749.72
  5. Step 5: Solve for x
    x = 12,949,725,749.72/101,704.68
  6. Step 6: Final answer
    x = 127,326.74

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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.