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Finding the Fourth Proportional to 185,989.97, 278,978.78 and 80,808.94

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Solution

The fourth proportional to 185,989.97, 278,978.78 and 80,808.94 is: 121,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,989.97 : 278,978.78 = 80,808.94 : x
  2. Step 2: Convert to fraction form
    185,989.97/278,978.78 = 80,808.94/x
  3. Step 3: Cross multiply
    185,989.97x = 278,978.78 × 80,808.94
  4. Step 4: Simplify right side
    185,989.97x = 22,543,980,045.04
  5. Step 5: Solve for x
    x = 22,543,980,045.04/185,989.97
  6. Step 6: Final answer
    x = 121,210.73

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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.