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Finding the Fourth Proportional to 55,264, 82,908.24 and 20,202.88

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Solution

The fourth proportional to 55,264, 82,908.24 and 20,202.88 is: 30,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,264 : 82,908.24 = 20,202.88 : x
  2. Step 2: Convert to fraction form
    55,264/82,908.24 = 20,202.88/x
  3. Step 3: Cross multiply
    55,264x = 82,908.24 × 20,202.88
  4. Step 4: Simplify right side
    55,264x = 1,674,985,223.73
  5. Step 5: Solve for x
    x = 1,674,985,223.73/55,264
  6. Step 6: Final answer
    x = 30,308.79

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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.