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Finding the Fourth Proportional to 70,883.92, 106,346.67 and 20,965.33

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Solution

The fourth proportional to 70,883.92, 106,346.67 and 20,965.33 is: 31,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,883.92 : 106,346.67 = 20,965.33 : x
  2. Step 2: Convert to fraction form
    70,883.92/106,346.67 = 20,965.33/x
  3. Step 3: Cross multiply
    70,883.92x = 106,346.67 × 20,965.33
  4. Step 4: Simplify right side
    70,883.92x = 2,229,593,030.95
  5. Step 5: Solve for x
    x = 2,229,593,030.95/70,883.92
  6. Step 6: Final answer
    x = 31,454.14

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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.