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Finding the Fourth Proportional to 101,542.91, 152,369.69 and 45,380.75

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Solution

The fourth proportional to 101,542.91, 152,369.69 and 45,380.75 is: 68,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,542.91 : 152,369.69 = 45,380.75 : x
  2. Step 2: Convert to fraction form
    101,542.91/152,369.69 = 45,380.75/x
  3. Step 3: Cross multiply
    101,542.91x = 152,369.69 × 45,380.75
  4. Step 4: Simplify right side
    101,542.91x = 6,914,649,820.72
  5. Step 5: Solve for x
    x = 6,914,649,820.72/101,542.91
  6. Step 6: Final answer
    x = 68,095.84

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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.