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Finding the Fourth Proportional to 70,839.92, 106,242.86 and 20,906.52

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Solution

The fourth proportional to 70,839.92, 106,242.86 and 20,906.52 is: 31,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,839.92 : 106,242.86 = 20,906.52 : x
  2. Step 2: Convert to fraction form
    70,839.92/106,242.86 = 20,906.52/x
  3. Step 3: Cross multiply
    70,839.92x = 106,242.86 × 20,906.52
  4. Step 4: Simplify right side
    70,839.92x = 2,221,168,477.45
  5. Step 5: Solve for x
    x = 2,221,168,477.45/70,839.92
  6. Step 6: Final answer
    x = 31,354.76

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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.