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Finding the Fourth Proportional to 185,743.80, 278,615.70 and 92,431.80

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Solution

The fourth proportional to 185,743.80, 278,615.70 and 92,431.80 is: 138,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,743.80 : 278,615.70 = 92,431.80 : x
  2. Step 2: Convert to fraction form
    185,743.80/278,615.70 = 92,431.80/x
  3. Step 3: Cross multiply
    185,743.80x = 278,615.70 × 92,431.80
  4. Step 4: Simplify right side
    185,743.80x = 25,752,950,659.26
  5. Step 5: Solve for x
    x = 25,752,950,659.26/185,743.80
  6. Step 6: Final answer
    x = 138,647.70

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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.