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Finding the Fourth Proportional to 120,630.09, 180,945.15 and 82,641.90

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Solution

The fourth proportional to 120,630.09, 180,945.15 and 82,641.90 is: 123,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,630.09 : 180,945.15 = 82,641.90 : x
  2. Step 2: Convert to fraction form
    120,630.09/180,945.15 = 82,641.90/x
  3. Step 3: Cross multiply
    120,630.09x = 180,945.15 × 82,641.90
  4. Step 4: Simplify right side
    120,630.09x = 14,953,651,360.42
  5. Step 5: Solve for x
    x = 14,953,651,360.42/120,630.09
  6. Step 6: Final answer
    x = 123,962.86

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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.