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Finding the Fourth Proportional to 75,251.41, 112,867.89 and 43,678.68

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Solution

The fourth proportional to 75,251.41, 112,867.89 and 43,678.68 is: 65,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,251.41 : 112,867.89 = 43,678.68 : x
  2. Step 2: Convert to fraction form
    75,251.41/112,867.89 = 43,678.68/x
  3. Step 3: Cross multiply
    75,251.41x = 112,867.89 × 43,678.68
  4. Step 4: Simplify right side
    75,251.41x = 4,929,920,449.59
  5. Step 5: Solve for x
    x = 4,929,920,449.59/75,251.41
  6. Step 6: Final answer
    x = 65,512.67

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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.