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Finding the Fourth Proportional to 204,015.55, 306,123.90 and 91,775.20

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Solution

The fourth proportional to 204,015.55, 306,123.90 and 91,775.20 is: 137,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,015.55 : 306,123.90 = 91,775.20 : x
  2. Step 2: Convert to fraction form
    204,015.55/306,123.90 = 91,775.20/x
  3. Step 3: Cross multiply
    204,015.55x = 306,123.90 × 91,775.20
  4. Step 4: Simplify right side
    204,015.55x = 28,094,582,147.28
  5. Step 5: Solve for x
    x = 28,094,582,147.28/204,015.55
  6. Step 6: Final answer
    x = 137,708.04

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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.