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Finding the Fourth Proportional to 55,519, 83,272.38 and 13,966

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Solution

The fourth proportional to 55,519, 83,272.38 and 13,966 is: 20,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,519 : 83,272.38 = 13,966 : x
  2. Step 2: Convert to fraction form
    55,519/83,272.38 = 13,966/x
  3. Step 3: Cross multiply
    55,519x = 83,272.38 × 13,966
  4. Step 4: Simplify right side
    55,519x = 1,162,982,059.08
  5. Step 5: Solve for x
    x = 1,162,982,059.08/55,519
  6. Step 6: Final answer
    x = 20,947.46

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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.