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Finding the Fourth Proportional to 70,902.05, 106,315.47 and 20,975.27

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Solution

The fourth proportional to 70,902.05, 106,315.47 and 20,975.27 is: 31,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902.05 : 106,315.47 = 20,975.27 : x
  2. Step 2: Convert to fraction form
    70,902.05/106,315.47 = 20,975.27/x
  3. Step 3: Cross multiply
    70,902.05x = 106,315.47 × 20,975.27
  4. Step 4: Simplify right side
    70,902.05x = 2,229,995,954.22
  5. Step 5: Solve for x
    x = 2,229,995,954.22/70,902.05
  6. Step 6: Final answer
    x = 31,451.78

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1.5x scale

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.