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Finding the Fourth Proportional to 203,984.92, 306,097.24 and 85,647.16

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Solution

The fourth proportional to 203,984.92, 306,097.24 and 85,647.16 is: 128,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,984.92 : 306,097.24 = 85,647.16 : x
  2. Step 2: Convert to fraction form
    203,984.92/306,097.24 = 85,647.16/x
  3. Step 3: Cross multiply
    203,984.92x = 306,097.24 × 85,647.16
  4. Step 4: Simplify right side
    203,984.92x = 26,216,359,289.84
  5. Step 5: Solve for x
    x = 26,216,359,289.84/203,984.92
  6. Step 6: Final answer
    x = 128,521.07

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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.