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Finding the Fourth Proportional to 86,974.75, 120,025.16 and 49,249

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Solution

The fourth proportional to 86,974.75, 120,025.16 and 49,249 is: 67,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,974.75 : 120,025.16 = 49,249 : x
  2. Step 2: Convert to fraction form
    86,974.75/120,025.16 = 49,249/x
  3. Step 3: Cross multiply
    86,974.75x = 120,025.16 × 49,249
  4. Step 4: Simplify right side
    86,974.75x = 5,911,119,104.84
  5. Step 5: Solve for x
    x = 5,911,119,104.84/86,974.75
  6. Step 6: Final answer
    x = 67,963.62

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1.5x scale

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.