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Finding the Fourth Proportional to 80,663.40, 120,764.70 and 71,447.40

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Solution

The fourth proportional to 80,663.40, 120,764.70 and 71,447.40 is: 106,967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,663.40 : 120,764.70 = 71,447.40 : x
  2. Step 2: Convert to fraction form
    80,663.40/120,764.70 = 71,447.40/x
  3. Step 3: Cross multiply
    80,663.40x = 120,764.70 × 71,447.40
  4. Step 4: Simplify right side
    80,663.40x = 8,628,323,826.78
  5. Step 5: Solve for x
    x = 8,628,323,826.78/80,663.40
  6. Step 6: Final answer
    x = 106,967.02

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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.