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Finding the Fourth Proportional to 81,811.62, 122,703.76 and 22,653.27

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Solution

The fourth proportional to 81,811.62, 122,703.76 and 22,653.27 is: 33,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,811.62 : 122,703.76 = 22,653.27 : x
  2. Step 2: Convert to fraction form
    81,811.62/122,703.76 = 22,653.27/x
  3. Step 3: Cross multiply
    81,811.62x = 122,703.76 × 22,653.27
  4. Step 4: Simplify right side
    81,811.62x = 2,779,641,348.66
  5. Step 5: Solve for x
    x = 2,779,641,348.66/81,811.62
  6. Step 6: Final answer
    x = 33,976.12

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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.