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Finding the Fourth Proportional to 200,691.78, 276,747.93 and 140,240.40

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Solution

The fourth proportional to 200,691.78, 276,747.93 and 140,240.40 is: 193,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,691.78 : 276,747.93 = 140,240.40 : x
  2. Step 2: Convert to fraction form
    200,691.78/276,747.93 = 140,240.40/x
  3. Step 3: Cross multiply
    200,691.78x = 276,747.93 × 140,240.40
  4. Step 4: Simplify right side
    200,691.78x = 38,811,240,402.37
  5. Step 5: Solve for x
    x = 38,811,240,402.37/200,691.78
  6. Step 6: Final answer
    x = 193,387.29

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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.