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Finding the Fourth Proportional to 200,026.78, 276,034.29 and 113,990.88

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Solution

The fourth proportional to 200,026.78, 276,034.29 and 113,990.88 is: 157,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,026.78 : 276,034.29 = 113,990.88 : x
  2. Step 2: Convert to fraction form
    200,026.78/276,034.29 = 113,990.88/x
  3. Step 3: Cross multiply
    200,026.78x = 276,034.29 × 113,990.88
  4. Step 4: Simplify right side
    200,026.78x = 31,465,391,627.28
  5. Step 5: Solve for x
    x = 31,465,391,627.28/200,026.78
  6. Step 6: Final answer
    x = 157,305.89

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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.