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Finding the Fourth Proportional to 55,192.50, 82,801.09 and 20,132.16

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Solution

The fourth proportional to 55,192.50, 82,801.09 and 20,132.16 is: 30,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,192.50 : 82,801.09 = 20,132.16 : x
  2. Step 2: Convert to fraction form
    55,192.50/82,801.09 = 20,132.16/x
  3. Step 3: Cross multiply
    55,192.50x = 82,801.09 × 20,132.16
  4. Step 4: Simplify right side
    55,192.50x = 1,666,964,378.05
  5. Step 5: Solve for x
    x = 1,666,964,378.05/55,192.50
  6. Step 6: Final answer
    x = 30,202.73

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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.