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Finding the Fourth Proportional to 71,177.94, 106,764.82 and 18,587.44

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Solution

The fourth proportional to 71,177.94, 106,764.82 and 18,587.44 is: 27,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,177.94 : 106,764.82 = 18,587.44 : x
  2. Step 2: Convert to fraction form
    71,177.94/106,764.82 = 18,587.44/x
  3. Step 3: Cross multiply
    71,177.94x = 106,764.82 × 18,587.44
  4. Step 4: Simplify right side
    71,177.94x = 1,984,484,685.86
  5. Step 5: Solve for x
    x = 1,984,484,685.86/71,177.94
  6. Step 6: Final answer
    x = 27,880.61

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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.