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Finding the Fourth Proportional to 55,196.20, 82,815.90 and 20,139.40

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Solution

The fourth proportional to 55,196.20, 82,815.90 and 20,139.40 is: 30,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,196.20 : 82,815.90 = 20,139.40 : x
  2. Step 2: Convert to fraction form
    55,196.20/82,815.90 = 20,139.40/x
  3. Step 3: Cross multiply
    55,196.20x = 82,815.90 × 20,139.40
  4. Step 4: Simplify right side
    55,196.20x = 1,667,862,536.46
  5. Step 5: Solve for x
    x = 1,667,862,536.46/55,196.20
  6. Step 6: Final answer
    x = 30,216.98

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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.