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Finding the Fourth Proportional to 54,593.86, 81,842.05 and 21,306.16

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Solution

The fourth proportional to 54,593.86, 81,842.05 and 21,306.16 is: 31,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,593.86 : 81,842.05 = 21,306.16 : x
  2. Step 2: Convert to fraction form
    54,593.86/81,842.05 = 21,306.16/x
  3. Step 3: Cross multiply
    54,593.86x = 81,842.05 × 21,306.16
  4. Step 4: Simplify right side
    54,593.86x = 1,743,739,705.50
  5. Step 5: Solve for x
    x = 1,743,739,705.50/54,593.86
  6. Step 6: Final answer
    x = 31,940.22

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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.