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Finding the Fourth Proportional to 204,754.96, 307,059 and 78,430.72

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Solution

The fourth proportional to 204,754.96, 307,059 and 78,430.72 is: 117,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,754.96 : 307,059 = 78,430.72 : x
  2. Step 2: Convert to fraction form
    204,754.96/307,059 = 78,430.72/x
  3. Step 3: Cross multiply
    204,754.96x = 307,059 × 78,430.72
  4. Step 4: Simplify right side
    204,754.96x = 24,082,858,452.48
  5. Step 5: Solve for x
    x = 24,082,858,452.48/204,754.96
  6. Step 6: Final answer
    x = 117,617.95

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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.