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Finding the Fourth Proportional to 54,981.36, 82,480.14 and 19,912.82

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Solution

The fourth proportional to 54,981.36, 82,480.14 and 19,912.82 is: 29,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,981.36 : 82,480.14 = 19,912.82 : x
  2. Step 2: Convert to fraction form
    54,981.36/82,480.14 = 19,912.82/x
  3. Step 3: Cross multiply
    54,981.36x = 82,480.14 × 19,912.82
  4. Step 4: Simplify right side
    54,981.36x = 1,642,411,768.99
  5. Step 5: Solve for x
    x = 1,642,411,768.99/54,981.36
  6. Step 6: Final answer
    x = 29,872.16

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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.