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Finding the Fourth Proportional to 120,879.36, 181,219.14 and 53,363.34

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Solution

The fourth proportional to 120,879.36, 181,219.14 and 53,363.34 is: 80,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,879.36 : 181,219.14 = 53,363.34 : x
  2. Step 2: Convert to fraction form
    120,879.36/181,219.14 = 53,363.34/x
  3. Step 3: Cross multiply
    120,879.36x = 181,219.14 × 53,363.34
  4. Step 4: Simplify right side
    120,879.36x = 9,670,458,582.33
  5. Step 5: Solve for x
    x = 9,670,458,582.33/120,879.36
  6. Step 6: Final answer
    x = 80,000.91

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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.