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Finding the Fourth Proportional to 120,456.40, 180,693.92 and 36,210

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Solution

The fourth proportional to 120,456.40, 180,693.92 and 36,210 is: 54,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,456.40 : 180,693.92 = 36,210 : x
  2. Step 2: Convert to fraction form
    120,456.40/180,693.92 = 36,210/x
  3. Step 3: Cross multiply
    120,456.40x = 180,693.92 × 36,210
  4. Step 4: Simplify right side
    120,456.40x = 6,542,926,843.20
  5. Step 5: Solve for x
    x = 6,542,926,843.20/120,456.40
  6. Step 6: Final answer
    x = 54,317.80

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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.