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Finding the Fourth Proportional to 87,205.82, 120,356.25 and 50,919.14

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Solution

The fourth proportional to 87,205.82, 120,356.25 and 50,919.14 is: 70,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,205.82 : 120,356.25 = 50,919.14 : x
  2. Step 2: Convert to fraction form
    87,205.82/120,356.25 = 50,919.14/x
  3. Step 3: Cross multiply
    87,205.82x = 120,356.25 × 50,919.14
  4. Step 4: Simplify right side
    87,205.82x = 6,128,436,743.63
  5. Step 5: Solve for x
    x = 6,128,436,743.63/87,205.82
  6. Step 6: Final answer
    x = 70,275.55

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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.