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Finding the Fourth Proportional to 70,872.68, 106,309.16 and 66,542.42

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Solution

The fourth proportional to 70,872.68, 106,309.16 and 66,542.42 is: 99,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872.68 : 106,309.16 = 66,542.42 : x
  2. Step 2: Convert to fraction form
    70,872.68/106,309.16 = 66,542.42/x
  3. Step 3: Cross multiply
    70,872.68x = 106,309.16 × 66,542.42
  4. Step 4: Simplify right side
    70,872.68x = 7,074,068,774.57
  5. Step 5: Solve for x
    x = 7,074,068,774.57/70,872.68
  6. Step 6: Final answer
    x = 99,813.76

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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.