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Finding the Fourth Proportional to 120,404.40, 180,541.80 and 50,204.40

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Solution

The fourth proportional to 120,404.40, 180,541.80 and 50,204.40 is: 75,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,404.40 : 180,541.80 = 50,204.40 : x
  2. Step 2: Convert to fraction form
    120,404.40/180,541.80 = 50,204.40/x
  3. Step 3: Cross multiply
    120,404.40x = 180,541.80 × 50,204.40
  4. Step 4: Simplify right side
    120,404.40x = 9,063,992,743.92
  5. Step 5: Solve for x
    x = 9,063,992,743.92/120,404.40
  6. Step 6: Final answer
    x = 75,279.58

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1.5x scale

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.