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Finding the Fourth Proportional to 55,456.88, 83,135.64 and 20,372

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Solution

The fourth proportional to 55,456.88, 83,135.64 and 20,372 is: 30,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,456.88 : 83,135.64 = 20,372 : x
  2. Step 2: Convert to fraction form
    55,456.88/83,135.64 = 20,372/x
  3. Step 3: Cross multiply
    55,456.88x = 83,135.64 × 20,372
  4. Step 4: Simplify right side
    55,456.88x = 1,693,639,258.08
  5. Step 5: Solve for x
    x = 1,693,639,258.08/55,456.88
  6. Step 6: Final answer
    x = 30,539.75

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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.