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Finding the Fourth Proportional to 70,691.88, 106,011.84 and 20,759.16

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Solution

The fourth proportional to 70,691.88, 106,011.84 and 20,759.16 is: 31,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,691.88 : 106,011.84 = 20,759.16 : x
  2. Step 2: Convert to fraction form
    70,691.88/106,011.84 = 20,759.16/x
  3. Step 3: Cross multiply
    70,691.88x = 106,011.84 × 20,759.16
  4. Step 4: Simplify right side
    70,691.88x = 2,200,716,748.45
  5. Step 5: Solve for x
    x = 2,200,716,748.45/70,691.88
  6. Step 6: Final answer
    x = 31,131.11

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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.