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Finding the Fourth Proportional to 71,649.60, 107,560.80 and 71,131.20

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Solution

The fourth proportional to 71,649.60, 107,560.80 and 71,131.20 is: 106,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,649.60 : 107,560.80 = 71,131.20 : x
  2. Step 2: Convert to fraction form
    71,649.60/107,560.80 = 71,131.20/x
  3. Step 3: Cross multiply
    71,649.60x = 107,560.80 × 71,131.20
  4. Step 4: Simplify right side
    71,649.60x = 7,650,928,776.96
  5. Step 5: Solve for x
    x = 7,650,928,776.96/71,649.60
  6. Step 6: Final answer
    x = 106,782.57

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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.