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Finding the Fourth Proportional to 54,381, 81,571.50 and 19,322.04

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Solution

The fourth proportional to 54,381, 81,571.50 and 19,322.04 is: 28,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,381 : 81,571.50 = 19,322.04 : x
  2. Step 2: Convert to fraction form
    54,381/81,571.50 = 19,322.04/x
  3. Step 3: Cross multiply
    54,381x = 81,571.50 × 19,322.04
  4. Step 4: Simplify right side
    54,381x = 1,576,127,785.86
  5. Step 5: Solve for x
    x = 1,576,127,785.86/54,381
  6. Step 6: Final answer
    x = 28,983.06

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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.