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Finding the Fourth Proportional to 146,686.72, 220,122.24 and 71,852.80

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Solution

The fourth proportional to 146,686.72, 220,122.24 and 71,852.80 is: 107,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,686.72 : 220,122.24 = 71,852.80 : x
  2. Step 2: Convert to fraction form
    146,686.72/220,122.24 = 71,852.80/x
  3. Step 3: Cross multiply
    146,686.72x = 220,122.24 × 71,852.80
  4. Step 4: Simplify right side
    146,686.72x = 15,816,399,286.27
  5. Step 5: Solve for x
    x = 15,816,399,286.27/146,686.72
  6. Step 6: Final answer
    x = 107,824.34

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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.