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Finding the Fourth Proportional to 69,721.56, 96,208.56 and 41,421.78

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Solution

The fourth proportional to 69,721.56, 96,208.56 and 41,421.78 is: 57,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,721.56 : 96,208.56 = 41,421.78 : x
  2. Step 2: Convert to fraction form
    69,721.56/96,208.56 = 41,421.78/x
  3. Step 3: Cross multiply
    69,721.56x = 96,208.56 × 41,421.78
  4. Step 4: Simplify right side
    69,721.56x = 3,985,129,806.44
  5. Step 5: Solve for x
    x = 3,985,129,806.44/69,721.56
  6. Step 6: Final answer
    x = 57,157.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.