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Finding the Fourth Proportional to 71,226.88, 106,811.16 and 31,757

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Solution

The fourth proportional to 71,226.88, 106,811.16 and 31,757 is: 47,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,226.88 : 106,811.16 = 31,757 : x
  2. Step 2: Convert to fraction form
    71,226.88/106,811.16 = 31,757/x
  3. Step 3: Cross multiply
    71,226.88x = 106,811.16 × 31,757
  4. Step 4: Simplify right side
    71,226.88x = 3,392,002,008.12
  5. Step 5: Solve for x
    x = 3,392,002,008.12/71,226.88
  6. Step 6: Final answer
    x = 47,622.50

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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.