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Finding the Fourth Proportional to 81,570.80, 122,342.09 and 21,600.14

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Solution

The fourth proportional to 81,570.80, 122,342.09 and 21,600.14 is: 32,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,570.80 : 122,342.09 = 21,600.14 : x
  2. Step 2: Convert to fraction form
    81,570.80/122,342.09 = 21,600.14/x
  3. Step 3: Cross multiply
    81,570.80x = 122,342.09 × 21,600.14
  4. Step 4: Simplify right side
    81,570.80x = 2,642,605,612.93
  5. Step 5: Solve for x
    x = 2,642,605,612.93/81,570.80
  6. Step 6: Final answer
    x = 32,396.47

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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.