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Finding the Fourth Proportional to 71,172.91, 106,789.01 and 31,220.59

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Solution

The fourth proportional to 71,172.91, 106,789.01 and 31,220.59 is: 46,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,172.91 : 106,789.01 = 31,220.59 : x
  2. Step 2: Convert to fraction form
    71,172.91/106,789.01 = 31,220.59/x
  3. Step 3: Cross multiply
    71,172.91x = 106,789.01 × 31,220.59
  4. Step 4: Simplify right side
    71,172.91x = 3,334,015,708.79
  5. Step 5: Solve for x
    x = 3,334,015,708.79/71,172.91
  6. Step 6: Final answer
    x = 46,843.89

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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.