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Finding the Fourth Proportional to 71,158.23, 106,737.21 and 66,827.97

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Solution

The fourth proportional to 71,158.23, 106,737.21 and 66,827.97 is: 100,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.23 : 106,737.21 = 66,827.97 : x
  2. Step 2: Convert to fraction form
    71,158.23/106,737.21 = 66,827.97/x
  3. Step 3: Cross multiply
    71,158.23x = 106,737.21 × 66,827.97
  4. Step 4: Simplify right side
    71,158.23x = 7,133,031,067.76
  5. Step 5: Solve for x
    x = 7,133,031,067.76/71,158.23
  6. Step 6: Final answer
    x = 100,241.83

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1.5x scale

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.