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Finding the Fourth Proportional to 54,471.52, 81,712.30 and 21,194.08

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Solution

The fourth proportional to 54,471.52, 81,712.30 and 21,194.08 is: 31,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,471.52 : 81,712.30 = 21,194.08 : x
  2. Step 2: Convert to fraction form
    54,471.52/81,712.30 = 21,194.08/x
  3. Step 3: Cross multiply
    54,471.52x = 81,712.30 × 21,194.08
  4. Step 4: Simplify right side
    54,471.52x = 1,731,817,023.18
  5. Step 5: Solve for x
    x = 1,731,817,023.18/54,471.52
  6. Step 6: Final answer
    x = 31,793.07

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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.