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Finding the Fourth Proportional to 71,625.88, 107,409.25 and 31,102.03

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Solution

The fourth proportional to 71,625.88, 107,409.25 and 31,102.03 is: 46,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,625.88 : 107,409.25 = 31,102.03 : x
  2. Step 2: Convert to fraction form
    71,625.88/107,409.25 = 31,102.03/x
  3. Step 3: Cross multiply
    71,625.88x = 107,409.25 × 31,102.03
  4. Step 4: Simplify right side
    71,625.88x = 3,340,645,715.78
  5. Step 5: Solve for x
    x = 3,340,645,715.78/71,625.88
  6. Step 6: Final answer
    x = 46,640.20

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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.