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Finding the Fourth Proportional to 180,807.67, 270,905.31 and 109,514.86

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Solution

The fourth proportional to 180,807.67, 270,905.31 and 109,514.86 is: 164,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,807.67 : 270,905.31 = 109,514.86 : x
  2. Step 2: Convert to fraction form
    180,807.67/270,905.31 = 109,514.86/x
  3. Step 3: Cross multiply
    180,807.67x = 270,905.31 × 109,514.86
  4. Step 4: Simplify right side
    180,807.67x = 29,668,157,097.91
  5. Step 5: Solve for x
    x = 29,668,157,097.91/180,807.67
  6. Step 6: Final answer
    x = 164,086.83

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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.