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Finding the Fourth Proportional to 71,158.66, 106,756.47 and 21,238.76

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Solution

The fourth proportional to 71,158.66, 106,756.47 and 21,238.76 is: 31,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.66 : 106,756.47 = 21,238.76 : x
  2. Step 2: Convert to fraction form
    71,158.66/106,756.47 = 21,238.76/x
  3. Step 3: Cross multiply
    71,158.66x = 106,756.47 × 21,238.76
  4. Step 4: Simplify right side
    71,158.66x = 2,267,375,311.67
  5. Step 5: Solve for x
    x = 2,267,375,311.67/71,158.66
  6. Step 6: Final answer
    x = 31,863.66

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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.