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Finding the Fourth Proportional to 120,215.59, 180,339.80 and 50,078.50

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Solution

The fourth proportional to 120,215.59, 180,339.80 and 50,078.50 is: 75,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,215.59 : 180,339.80 = 50,078.50 : x
  2. Step 2: Convert to fraction form
    120,215.59/180,339.80 = 50,078.50/x
  3. Step 3: Cross multiply
    120,215.59x = 180,339.80 × 50,078.50
  4. Step 4: Simplify right side
    120,215.59x = 9,031,146,674.30
  5. Step 5: Solve for x
    x = 9,031,146,674.30/120,215.59
  6. Step 6: Final answer
    x = 75,124.59

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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.