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Finding the Fourth Proportional to 70,958.82, 106,407.34 and 20,346.69

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Solution

The fourth proportional to 70,958.82, 106,407.34 and 20,346.69 is: 30,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,958.82 : 106,407.34 = 20,346.69 : x
  2. Step 2: Convert to fraction form
    70,958.82/106,407.34 = 20,346.69/x
  3. Step 3: Cross multiply
    70,958.82x = 106,407.34 × 20,346.69
  4. Step 4: Simplify right side
    70,958.82x = 2,165,037,160.70
  5. Step 5: Solve for x
    x = 2,165,037,160.70/70,958.82
  6. Step 6: Final answer
    x = 30,511.18

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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.