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Finding the Fourth Proportional to 54,120, 81,180.16 and 21,288

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Solution

The fourth proportional to 54,120, 81,180.16 and 21,288 is: 31,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,120 : 81,180.16 = 21,288 : x
  2. Step 2: Convert to fraction form
    54,120/81,180.16 = 21,288/x
  3. Step 3: Cross multiply
    54,120x = 81,180.16 × 21,288
  4. Step 4: Simplify right side
    54,120x = 1,728,163,246.08
  5. Step 5: Solve for x
    x = 1,728,163,246.08/54,120
  6. Step 6: Final answer
    x = 31,932.06

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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.