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Finding the Fourth Proportional to 71,237.70, 106,847.13 and 31,785.66

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Solution

The fourth proportional to 71,237.70, 106,847.13 and 31,785.66 is: 47,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,237.70 : 106,847.13 = 31,785.66 : x
  2. Step 2: Convert to fraction form
    71,237.70/106,847.13 = 31,785.66/x
  3. Step 3: Cross multiply
    71,237.70x = 106,847.13 × 31,785.66
  4. Step 4: Simplify right side
    71,237.70x = 3,396,206,546.16
  5. Step 5: Solve for x
    x = 3,396,206,546.16/71,237.70
  6. Step 6: Final answer
    x = 47,674.29

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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.