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Finding the Fourth Proportional to 71,447.40, 107,143.65 and 33,978.60

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Solution

The fourth proportional to 71,447.40, 107,143.65 and 33,978.60 is: 50,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,447.40 : 107,143.65 = 33,978.60 : x
  2. Step 2: Convert to fraction form
    71,447.40/107,143.65 = 33,978.60/x
  3. Step 3: Cross multiply
    71,447.40x = 107,143.65 × 33,978.60
  4. Step 4: Simplify right side
    71,447.40x = 3,640,591,225.89
  5. Step 5: Solve for x
    x = 3,640,591,225.89/71,447.40
  6. Step 6: Final answer
    x = 50,954.85

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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.