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Finding the Fourth Proportional to 70,505.13, 105,747.26 and 20,571.81

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Solution

The fourth proportional to 70,505.13, 105,747.26 and 20,571.81 is: 30,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,505.13 : 105,747.26 = 20,571.81 : x
  2. Step 2: Convert to fraction form
    70,505.13/105,747.26 = 20,571.81/x
  3. Step 3: Cross multiply
    70,505.13x = 105,747.26 × 20,571.81
  4. Step 4: Simplify right side
    70,505.13x = 2,175,412,041.33
  5. Step 5: Solve for x
    x = 2,175,412,041.33/70,505.13
  6. Step 6: Final answer
    x = 30,854.66

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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.