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Finding the Fourth Proportional to 81,062.72, 121,589.49 and 21,893.93

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Solution

The fourth proportional to 81,062.72, 121,589.49 and 21,893.93 is: 32,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,062.72 : 121,589.49 = 21,893.93 : x
  2. Step 2: Convert to fraction form
    81,062.72/121,589.49 = 21,893.93/x
  3. Step 3: Cross multiply
    81,062.72x = 121,589.49 × 21,893.93
  4. Step 4: Simplify right side
    81,062.72x = 2,662,071,782.80
  5. Step 5: Solve for x
    x = 2,662,071,782.80/81,062.72
  6. Step 6: Final answer
    x = 32,839.66

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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.