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Finding the Fourth Proportional to 71,611.32, 107,395 and 34,151.64

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Solution

The fourth proportional to 71,611.32, 107,395 and 34,151.64 is: 51,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,611.32 : 107,395 = 34,151.64 : x
  2. Step 2: Convert to fraction form
    71,611.32/107,395 = 34,151.64/x
  3. Step 3: Cross multiply
    71,611.32x = 107,395 × 34,151.64
  4. Step 4: Simplify right side
    71,611.32x = 3,667,715,377.80
  5. Step 5: Solve for x
    x = 3,667,715,377.80/71,611.32
  6. Step 6: Final answer
    x = 51,216.98

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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.