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Finding the Fourth Proportional to 67,571.32, 101,357.10 and 20,823.88

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Solution

The fourth proportional to 67,571.32, 101,357.10 and 20,823.88 is: 31,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,571.32 : 101,357.10 = 20,823.88 : x
  2. Step 2: Convert to fraction form
    67,571.32/101,357.10 = 20,823.88/x
  3. Step 3: Cross multiply
    67,571.32x = 101,357.10 × 20,823.88
  4. Step 4: Simplify right side
    67,571.32x = 2,110,648,087.55
  5. Step 5: Solve for x
    x = 2,110,648,087.55/67,571.32
  6. Step 6: Final answer
    x = 31,235.86

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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.