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Finding the Fourth Proportional to 70,201.61, 105,286.92 and 20,270.84

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Solution

The fourth proportional to 70,201.61, 105,286.92 and 20,270.84 is: 30,401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,201.61 : 105,286.92 = 20,270.84 : x
  2. Step 2: Convert to fraction form
    70,201.61/105,286.92 = 20,270.84/x
  3. Step 3: Cross multiply
    70,201.61x = 105,286.92 × 20,270.84
  4. Step 4: Simplify right side
    70,201.61x = 2,134,254,309.41
  5. Step 5: Solve for x
    x = 2,134,254,309.41/70,201.61
  6. Step 6: Final answer
    x = 30,401.79

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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.