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Finding the Fourth Proportional to 54,278.70, 81,422.10 and 19,213.80

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Solution

The fourth proportional to 54,278.70, 81,422.10 and 19,213.80 is: 28,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,278.70 : 81,422.10 = 19,213.80 : x
  2. Step 2: Convert to fraction form
    54,278.70/81,422.10 = 19,213.80/x
  3. Step 3: Cross multiply
    54,278.70x = 81,422.10 × 19,213.80
  4. Step 4: Simplify right side
    54,278.70x = 1,564,427,944.98
  5. Step 5: Solve for x
    x = 1,564,427,944.98/54,278.70
  6. Step 6: Final answer
    x = 28,822.13

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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.