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Finding the Fourth Proportional to 55,294.82, 82,939.50 and 20,231.76

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Solution

The fourth proportional to 55,294.82, 82,939.50 and 20,231.76 is: 30,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,294.82 : 82,939.50 = 20,231.76 : x
  2. Step 2: Convert to fraction form
    55,294.82/82,939.50 = 20,231.76/x
  3. Step 3: Cross multiply
    55,294.82x = 82,939.50 × 20,231.76
  4. Step 4: Simplify right side
    55,294.82x = 1,678,012,058.52
  5. Step 5: Solve for x
    x = 1,678,012,058.52/55,294.82
  6. Step 6: Final answer
    x = 30,346.64

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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.