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Finding the Fourth Proportional to 87,492, 120,743.28 and 49,769.76

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Solution

The fourth proportional to 87,492, 120,743.28 and 49,769.76 is: 68,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,492 : 120,743.28 = 49,769.76 : x
  2. Step 2: Convert to fraction form
    87,492/120,743.28 = 49,769.76/x
  3. Step 3: Cross multiply
    87,492x = 120,743.28 × 49,769.76
  4. Step 4: Simplify right side
    87,492x = 6,009,364,067.21
  5. Step 5: Solve for x
    x = 6,009,364,067.21/87,492
  6. Step 6: Final answer
    x = 68,684.73

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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.