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Finding the Fourth Proportional to 54,322.25, 81,436.28 and 21,019.40

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Solution

The fourth proportional to 54,322.25, 81,436.28 and 21,019.40 is: 31,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,322.25 : 81,436.28 = 21,019.40 : x
  2. Step 2: Convert to fraction form
    54,322.25/81,436.28 = 21,019.40/x
  3. Step 3: Cross multiply
    54,322.25x = 81,436.28 × 21,019.40
  4. Step 4: Simplify right side
    54,322.25x = 1,711,741,743.83
  5. Step 5: Solve for x
    x = 1,711,741,743.83/54,322.25
  6. Step 6: Final answer
    x = 31,510.88

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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.