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Finding the Fourth Proportional to 45,816.97, 68,705.97 and 20,872.86

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Solution

The fourth proportional to 45,816.97, 68,705.97 and 20,872.86 is: 31,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,816.97 : 68,705.97 = 20,872.86 : x
  2. Step 2: Convert to fraction form
    45,816.97/68,705.97 = 20,872.86/x
  3. Step 3: Cross multiply
    45,816.97x = 68,705.97 × 20,872.86
  4. Step 4: Simplify right side
    45,816.97x = 1,434,090,454.17
  5. Step 5: Solve for x
    x = 1,434,090,454.17/45,816.97
  6. Step 6: Final answer
    x = 31,300.42

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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.