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Finding the Fourth Proportional to 45,449.84, 68,084 and 36,105.68

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Solution

The fourth proportional to 45,449.84, 68,084 and 36,105.68 is: 54,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,449.84 : 68,084 = 36,105.68 : x
  2. Step 2: Convert to fraction form
    45,449.84/68,084 = 36,105.68/x
  3. Step 3: Cross multiply
    45,449.84x = 68,084 × 36,105.68
  4. Step 4: Simplify right side
    45,449.84x = 2,458,219,117.12
  5. Step 5: Solve for x
    x = 2,458,219,117.12/45,449.84
  6. Step 6: Final answer
    x = 54,086.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.