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Finding the Fourth Proportional to 81,282.80, 122,021.40 and 45,772.40

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Solution

The fourth proportional to 81,282.80, 122,021.40 and 45,772.40 is: 68,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282.80 : 122,021.40 = 45,772.40 : x
  2. Step 2: Convert to fraction form
    81,282.80/122,021.40 = 45,772.40/x
  3. Step 3: Cross multiply
    81,282.80x = 122,021.40 × 45,772.40
  4. Step 4: Simplify right side
    81,282.80x = 5,585,212,329.36
  5. Step 5: Solve for x
    x = 5,585,212,329.36/81,282.80
  6. Step 6: Final answer
    x = 68,713.34

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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.