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Finding the Fourth Proportional to 69,722.56, 96,209.94 and 41,422.78

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Solution

The fourth proportional to 69,722.56, 96,209.94 and 41,422.78 is: 57,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,722.56 : 96,209.94 = 41,422.78 : x
  2. Step 2: Convert to fraction form
    69,722.56/96,209.94 = 41,422.78/x
  3. Step 3: Cross multiply
    69,722.56x = 96,209.94 × 41,422.78
  4. Step 4: Simplify right side
    69,722.56x = 3,985,283,178.43
  5. Step 5: Solve for x
    x = 3,985,283,178.43/69,722.56
  6. Step 6: Final answer
    x = 57,159.16

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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.