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Finding the Fourth Proportional to 54,820.80, 82,231.20 and 21,529.80

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Solution

The fourth proportional to 54,820.80, 82,231.20 and 21,529.80 is: 32,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,820.80 : 82,231.20 = 21,529.80 : x
  2. Step 2: Convert to fraction form
    54,820.80/82,231.20 = 21,529.80/x
  3. Step 3: Cross multiply
    54,820.80x = 82,231.20 × 21,529.80
  4. Step 4: Simplify right side
    54,820.80x = 1,770,421,289.76
  5. Step 5: Solve for x
    x = 1,770,421,289.76/54,820.80
  6. Step 6: Final answer
    x = 32,294.70

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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.