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Finding the Fourth Proportional to 120,578.40, 180,932.40 and 50,464.80

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Solution

The fourth proportional to 120,578.40, 180,932.40 and 50,464.80 is: 75,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,578.40 : 180,932.40 = 50,464.80 : x
  2. Step 2: Convert to fraction form
    120,578.40/180,932.40 = 50,464.80/x
  3. Step 3: Cross multiply
    120,578.40x = 180,932.40 × 50,464.80
  4. Step 4: Simplify right side
    120,578.40x = 9,130,717,379.52
  5. Step 5: Solve for x
    x = 9,130,717,379.52/120,578.40
  6. Step 6: Final answer
    x = 75,724.32

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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.