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Finding the Fourth Proportional to 107,930.16, 161,879.44 and 78,086.72

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Solution

The fourth proportional to 107,930.16, 161,879.44 and 78,086.72 is: 117,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,930.16 : 161,879.44 = 78,086.72 : x
  2. Step 2: Convert to fraction form
    107,930.16/161,879.44 = 78,086.72/x
  3. Step 3: Cross multiply
    107,930.16x = 161,879.44 × 78,086.72
  4. Step 4: Simplify right side
    107,930.16x = 12,640,634,505.04
  5. Step 5: Solve for x
    x = 12,640,634,505.04/107,930.16
  6. Step 6: Final answer
    x = 117,118.65

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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.