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Finding the Fourth Proportional to 185,877.80, 278,842.30 and 80,693.80

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Solution

The fourth proportional to 185,877.80, 278,842.30 and 80,693.80 is: 121,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,877.80 : 278,842.30 = 80,693.80 : x
  2. Step 2: Convert to fraction form
    185,877.80/278,842.30 = 80,693.80/x
  3. Step 3: Cross multiply
    185,877.80x = 278,842.30 × 80,693.80
  4. Step 4: Simplify right side
    185,877.80x = 22,500,844,787.74
  5. Step 5: Solve for x
    x = 22,500,844,787.74/185,877.80
  6. Step 6: Final answer
    x = 121,051.81

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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.