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Finding the Fourth Proportional to 70,993.96, 97,972.10 and 39,163.72

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Solution

The fourth proportional to 70,993.96, 97,972.10 and 39,163.72 is: 54,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,993.96 : 97,972.10 = 39,163.72 : x
  2. Step 2: Convert to fraction form
    70,993.96/97,972.10 = 39,163.72/x
  3. Step 3: Cross multiply
    70,993.96x = 97,972.10 × 39,163.72
  4. Step 4: Simplify right side
    70,993.96x = 3,836,951,892.21
  5. Step 5: Solve for x
    x = 3,836,951,892.21/70,993.96
  6. Step 6: Final answer
    x = 54,046.17

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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.