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Finding the Fourth Proportional to 54,215.20, 81,284.40 and 20,922.40

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Solution

The fourth proportional to 54,215.20, 81,284.40 and 20,922.40 is: 31,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,215.20 : 81,284.40 = 20,922.40 : x
  2. Step 2: Convert to fraction form
    54,215.20/81,284.40 = 20,922.40/x
  3. Step 3: Cross multiply
    54,215.20x = 81,284.40 × 20,922.40
  4. Step 4: Simplify right side
    54,215.20x = 1,700,664,730.56
  5. Step 5: Solve for x
    x = 1,700,664,730.56/54,215.20
  6. Step 6: Final answer
    x = 31,368.78

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1.5x scale

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.