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Finding the Fourth Proportional to 75,371.92, 112,910.05 and 43,715.50

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Solution

The fourth proportional to 75,371.92, 112,910.05 and 43,715.50 is: 65,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,371.92 : 112,910.05 = 43,715.50 : x
  2. Step 2: Convert to fraction form
    75,371.92/112,910.05 = 43,715.50/x
  3. Step 3: Cross multiply
    75,371.92x = 112,910.05 × 43,715.50
  4. Step 4: Simplify right side
    75,371.92x = 4,935,919,063.14
  5. Step 5: Solve for x
    x = 4,935,919,063.14/75,371.92
  6. Step 6: Final answer
    x = 65,487.51

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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.