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Finding the Fourth Proportional to 81,721.81, 122,573.53 and 22,565.89

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Solution

The fourth proportional to 81,721.81, 122,573.53 and 22,565.89 is: 33,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,721.81 : 122,573.53 = 22,565.89 : x
  2. Step 2: Convert to fraction form
    81,721.81/122,573.53 = 22,565.89/x
  3. Step 3: Cross multiply
    81,721.81x = 122,573.53 × 22,565.89
  4. Step 4: Simplify right side
    81,721.81x = 2,765,980,794.89
  5. Step 5: Solve for x
    x = 2,765,980,794.89/81,721.81
  6. Step 6: Final answer
    x = 33,846.30

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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.