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Finding the Fourth Proportional to 120,505.19, 180,721.29 and 36,242.97

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Solution

The fourth proportional to 120,505.19, 180,721.29 and 36,242.97 is: 54,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,505.19 : 180,721.29 = 36,242.97 : x
  2. Step 2: Convert to fraction form
    120,505.19/180,721.29 = 36,242.97/x
  3. Step 3: Cross multiply
    120,505.19x = 180,721.29 × 36,242.97
  4. Step 4: Simplify right side
    120,505.19x = 6,549,876,291.83
  5. Step 5: Solve for x
    x = 6,549,876,291.83/120,505.19
  6. Step 6: Final answer
    x = 54,353.48

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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.