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Finding the Fourth Proportional to 185,884, 278,669.22 and 80,623.68

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Solution

The fourth proportional to 185,884, 278,669.22 and 80,623.68 is: 120,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,884 : 278,669.22 = 80,623.68 : x
  2. Step 2: Convert to fraction form
    185,884/278,669.22 = 80,623.68/x
  3. Step 3: Cross multiply
    185,884x = 278,669.22 × 80,623.68
  4. Step 4: Simplify right side
    185,884x = 22,467,338,019.13
  5. Step 5: Solve for x
    x = 22,467,338,019.13/185,884
  6. Step 6: Final answer
    x = 120,867.52

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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.