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Finding the Fourth Proportional to 54,316.80, 81,475.20 and 23,212.80

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Solution

The fourth proportional to 54,316.80, 81,475.20 and 23,212.80 is: 34,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,316.80 : 81,475.20 = 23,212.80 : x
  2. Step 2: Convert to fraction form
    54,316.80/81,475.20 = 23,212.80/x
  3. Step 3: Cross multiply
    54,316.80x = 81,475.20 × 23,212.80
  4. Step 4: Simplify right side
    54,316.80x = 1,891,267,522.56
  5. Step 5: Solve for x
    x = 1,891,267,522.56/54,316.80
  6. Step 6: Final answer
    x = 34,819.20

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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.