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Finding the Fourth Proportional to 185,916, 278,824.14 and 80,709.96

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Solution

The fourth proportional to 185,916, 278,824.14 and 80,709.96 is: 121,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,916 : 278,824.14 = 80,709.96 : x
  2. Step 2: Convert to fraction form
    185,916/278,824.14 = 80,709.96/x
  3. Step 3: Cross multiply
    185,916x = 278,824.14 × 80,709.96
  4. Step 4: Simplify right side
    185,916x = 22,503,885,186.43
  5. Step 5: Solve for x
    x = 22,503,885,186.43/185,916
  6. Step 6: Final answer
    x = 121,043.29

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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.