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Finding the Fourth Proportional to 54,517, 81,726.20 and 19,448.32

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Solution

The fourth proportional to 54,517, 81,726.20 and 19,448.32 is: 29,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,517 : 81,726.20 = 19,448.32 : x
  2. Step 2: Convert to fraction form
    54,517/81,726.20 = 19,448.32/x
  3. Step 3: Cross multiply
    54,517x = 81,726.20 × 19,448.32
  4. Step 4: Simplify right side
    54,517x = 1,589,437,289.98
  5. Step 5: Solve for x
    x = 1,589,437,289.98/54,517
  6. Step 6: Final answer
    x = 29,154.89

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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.