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Finding the Fourth Proportional to 67,144.32, 100,658.16 and 39,384

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Solution

The fourth proportional to 67,144.32, 100,658.16 and 39,384 is: 59,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,144.32 : 100,658.16 = 39,384 : x
  2. Step 2: Convert to fraction form
    67,144.32/100,658.16 = 39,384/x
  3. Step 3: Cross multiply
    67,144.32x = 100,658.16 × 39,384
  4. Step 4: Simplify right side
    67,144.32x = 3,964,320,973.44
  5. Step 5: Solve for x
    x = 3,964,320,973.44/67,144.32
  6. Step 6: Final answer
    x = 59,041.79

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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.