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Finding the Fourth Proportional to 120,470.40, 180,770.40 and 50,356.80

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Solution

The fourth proportional to 120,470.40, 180,770.40 and 50,356.80 is: 75,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,470.40 : 180,770.40 = 50,356.80 : x
  2. Step 2: Convert to fraction form
    120,470.40/180,770.40 = 50,356.80/x
  3. Step 3: Cross multiply
    120,470.40x = 180,770.40 × 50,356.80
  4. Step 4: Simplify right side
    120,470.40x = 9,103,018,878.72
  5. Step 5: Solve for x
    x = 9,103,018,878.72/120,470.40
  6. Step 6: Final answer
    x = 75,562.29

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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.