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Finding the Fourth Proportional to 199,874.64, 276,053.76 and 136,101.72

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Solution

The fourth proportional to 199,874.64, 276,053.76 and 136,101.72 is: 187,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,874.64 : 276,053.76 = 136,101.72 : x
  2. Step 2: Convert to fraction form
    199,874.64/276,053.76 = 136,101.72/x
  3. Step 3: Cross multiply
    199,874.64x = 276,053.76 × 136,101.72
  4. Step 4: Simplify right side
    199,874.64x = 37,571,391,548.47
  5. Step 5: Solve for x
    x = 37,571,391,548.47/199,874.64
  6. Step 6: Final answer
    x = 187,974.78

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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.