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Finding the Fourth Proportional to 65,981, 91,054.86 and 36,173

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Solution

The fourth proportional to 65,981, 91,054.86 and 36,173 is: 49,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,981 : 91,054.86 = 36,173 : x
  2. Step 2: Convert to fraction form
    65,981/91,054.86 = 36,173/x
  3. Step 3: Cross multiply
    65,981x = 91,054.86 × 36,173
  4. Step 4: Simplify right side
    65,981x = 3,293,727,450.78
  5. Step 5: Solve for x
    x = 3,293,727,450.78/65,981
  6. Step 6: Final answer
    x = 49,919.33

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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.