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Finding the Fourth Proportional to 120,505.69, 180,722.04 and 36,243.47

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Solution

The fourth proportional to 120,505.69, 180,722.04 and 36,243.47 is: 54,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,505.69 : 180,722.04 = 36,243.47 : x
  2. Step 2: Convert to fraction form
    120,505.69/180,722.04 = 36,243.47/x
  3. Step 3: Cross multiply
    120,505.69x = 180,722.04 × 36,243.47
  4. Step 4: Simplify right side
    120,505.69x = 6,549,993,835.08
  5. Step 5: Solve for x
    x = 6,549,993,835.08/120,505.69
  6. Step 6: Final answer
    x = 54,354.23

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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.