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Finding the Fourth Proportional to 81,726.56, 122,580.66 and 22,570.64

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Solution

The fourth proportional to 81,726.56, 122,580.66 and 22,570.64 is: 33,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,726.56 : 122,580.66 = 22,570.64 : x
  2. Step 2: Convert to fraction form
    81,726.56/122,580.66 = 22,570.64/x
  3. Step 3: Cross multiply
    81,726.56x = 122,580.66 × 22,570.64
  4. Step 4: Simplify right side
    81,726.56x = 2,766,723,947.82
  5. Step 5: Solve for x
    x = 2,766,723,947.82/81,726.56
  6. Step 6: Final answer
    x = 33,853.42

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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.