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Finding the Fourth Proportional to 138,014.62, 206,816.46 and 71,365.78

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Solution

The fourth proportional to 138,014.62, 206,816.46 and 71,365.78 is: 106,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,014.62 : 206,816.46 = 71,365.78 : x
  2. Step 2: Convert to fraction form
    138,014.62/206,816.46 = 71,365.78/x
  3. Step 3: Cross multiply
    138,014.62x = 206,816.46 × 71,365.78
  4. Step 4: Simplify right side
    138,014.62x = 14,759,617,984.74
  5. Step 5: Solve for x
    x = 14,759,617,984.74/138,014.62
  6. Step 6: Final answer
    x = 106,942.42

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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.