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Finding the Fourth Proportional to 57,680.16, 79,581.84 and 36,187.68

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Solution

The fourth proportional to 57,680.16, 79,581.84 and 36,187.68 is: 49,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,680.16 : 79,581.84 = 36,187.68 : x
  2. Step 2: Convert to fraction form
    57,680.16/79,581.84 = 36,187.68/x
  3. Step 3: Cross multiply
    57,680.16x = 79,581.84 × 36,187.68
  4. Step 4: Simplify right side
    57,680.16x = 2,879,882,159.73
  5. Step 5: Solve for x
    x = 2,879,882,159.73/57,680.16
  6. Step 6: Final answer
    x = 49,928.47

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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.