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Finding the Fourth Proportional to 185,843.70, 278,765.55 and 156,975.30

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Solution

The fourth proportional to 185,843.70, 278,765.55 and 156,975.30 is: 235,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,843.70 : 278,765.55 = 156,975.30 : x
  2. Step 2: Convert to fraction form
    185,843.70/278,765.55 = 156,975.30/x
  3. Step 3: Cross multiply
    185,843.70x = 278,765.55 × 156,975.30
  4. Step 4: Simplify right side
    185,843.70x = 43,759,305,840.92
  5. Step 5: Solve for x
    x = 43,759,305,840.92/185,843.70
  6. Step 6: Final answer
    x = 235,462.95

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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.