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Finding the Fourth Proportional to 145,540, 200,854.56 and 88,218.88

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Solution

The fourth proportional to 145,540, 200,854.56 and 88,218.88 is: 121,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,540 : 200,854.56 = 88,218.88 : x
  2. Step 2: Convert to fraction form
    145,540/200,854.56 = 88,218.88/x
  3. Step 3: Cross multiply
    145,540x = 200,854.56 × 88,218.88
  4. Step 4: Simplify right side
    145,540x = 17,719,164,326.09
  5. Step 5: Solve for x
    x = 17,719,164,326.09/145,540
  6. Step 6: Final answer
    x = 121,747.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.