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Finding the Fourth Proportional to 55,182.60, 82,773.90 and 20,123.40

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Solution

The fourth proportional to 55,182.60, 82,773.90 and 20,123.40 is: 30,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,182.60 : 82,773.90 = 20,123.40 : x
  2. Step 2: Convert to fraction form
    55,182.60/82,773.90 = 20,123.40/x
  3. Step 3: Cross multiply
    55,182.60x = 82,773.90 × 20,123.40
  4. Step 4: Simplify right side
    55,182.60x = 1,665,692,299.26
  5. Step 5: Solve for x
    x = 1,665,692,299.26/55,182.60
  6. Step 6: Final answer
    x = 30,185.10

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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.