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Finding the Fourth Proportional to 120,879.60, 181,319.40 and 42,001.80

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Solution

The fourth proportional to 120,879.60, 181,319.40 and 42,001.80 is: 63,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,879.60 : 181,319.40 = 42,001.80 : x
  2. Step 2: Convert to fraction form
    120,879.60/181,319.40 = 42,001.80/x
  3. Step 3: Cross multiply
    120,879.60x = 181,319.40 × 42,001.80
  4. Step 4: Simplify right side
    120,879.60x = 7,615,741,174.92
  5. Step 5: Solve for x
    x = 7,615,741,174.92/120,879.60
  6. Step 6: Final answer
    x = 63,002.70

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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.