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Finding the Fourth Proportional to 185,336.39, 278,047.33 and 78,723.78

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Solution

The fourth proportional to 185,336.39, 278,047.33 and 78,723.78 is: 118,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,336.39 : 278,047.33 = 78,723.78 : x
  2. Step 2: Convert to fraction form
    185,336.39/278,047.33 = 78,723.78/x
  3. Step 3: Cross multiply
    185,336.39x = 278,047.33 × 78,723.78
  4. Step 4: Simplify right side
    185,336.39x = 21,888,937,603.86
  5. Step 5: Solve for x
    x = 21,888,937,603.86/185,336.39
  6. Step 6: Final answer
    x = 118,103.83

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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.