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Finding the Fourth Proportional to 54,971.80, 82,471.20 and 15,528.40

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Solution

The fourth proportional to 54,971.80, 82,471.20 and 15,528.40 is: 23,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,971.80 : 82,471.20 = 15,528.40 : x
  2. Step 2: Convert to fraction form
    54,971.80/82,471.20 = 15,528.40/x
  3. Step 3: Cross multiply
    54,971.80x = 82,471.20 × 15,528.40
  4. Step 4: Simplify right side
    54,971.80x = 1,280,645,782.08
  5. Step 5: Solve for x
    x = 1,280,645,782.08/54,971.80
  6. Step 6: Final answer
    x = 23,296.41

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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.