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Finding the Fourth Proportional to 71,847, 107,865.88 and 61,384.23

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Solution

The fourth proportional to 71,847, 107,865.88 and 61,384.23 is: 92,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,847 : 107,865.88 = 61,384.23 : x
  2. Step 2: Convert to fraction form
    71,847/107,865.88 = 61,384.23/x
  3. Step 3: Cross multiply
    71,847x = 107,865.88 × 61,384.23
  4. Step 4: Simplify right side
    71,847x = 6,621,263,833.61
  5. Step 5: Solve for x
    x = 6,621,263,833.61/71,847
  6. Step 6: Final answer
    x = 92,157.83

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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.