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Finding the Fourth Proportional to 185,825.80, 278,764.30 and 80,641.80

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Solution

The fourth proportional to 185,825.80, 278,764.30 and 80,641.80 is: 120,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,825.80 : 278,764.30 = 80,641.80 : x
  2. Step 2: Convert to fraction form
    185,825.80/278,764.30 = 80,641.80/x
  3. Step 3: Cross multiply
    185,825.80x = 278,764.30 × 80,641.80
  4. Step 4: Simplify right side
    185,825.80x = 22,480,054,927.74
  5. Step 5: Solve for x
    x = 22,480,054,927.74/185,825.80
  6. Step 6: Final answer
    x = 120,973.81

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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.