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Finding the Fourth Proportional to 120,442.50, 180,672.71 and 36,195.92

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Solution

The fourth proportional to 120,442.50, 180,672.71 and 36,195.92 is: 54,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,442.50 : 180,672.71 = 36,195.92 : x
  2. Step 2: Convert to fraction form
    120,442.50/180,672.71 = 36,195.92/x
  3. Step 3: Cross multiply
    120,442.50x = 180,672.71 × 36,195.92
  4. Step 4: Simplify right side
    120,442.50x = 6,539,614,957.34
  5. Step 5: Solve for x
    x = 6,539,614,957.34/120,442.50
  6. Step 6: Final answer
    x = 54,296.57

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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.