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Finding the Fourth Proportional to 80,649.81, 120,999.29 and 41,234.60

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Solution

The fourth proportional to 80,649.81, 120,999.29 and 41,234.60 is: 61,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,649.81 : 120,999.29 = 41,234.60 : x
  2. Step 2: Convert to fraction form
    80,649.81/120,999.29 = 41,234.60/x
  3. Step 3: Cross multiply
    80,649.81x = 120,999.29 × 41,234.60
  4. Step 4: Simplify right side
    80,649.81x = 4,989,357,419.76
  5. Step 5: Solve for x
    x = 4,989,357,419.76/80,649.81
  6. Step 6: Final answer
    x = 61,864.47

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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.