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Finding the Fourth Proportional to 185,668.64, 278,251.28 and 135,513.44

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Solution

The fourth proportional to 185,668.64, 278,251.28 and 135,513.44 is: 203,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,668.64 : 278,251.28 = 135,513.44 : x
  2. Step 2: Convert to fraction form
    185,668.64/278,251.28 = 135,513.44/x
  3. Step 3: Cross multiply
    185,668.64x = 278,251.28 × 135,513.44
  4. Step 4: Simplify right side
    185,668.64x = 37,706,788,137.20
  5. Step 5: Solve for x
    x = 37,706,788,137.20/185,668.64
  6. Step 6: Final answer
    x = 203,086.47

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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.