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Finding the Fourth Proportional to 204,960.56, 307,253.64 and 71,768

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Solution

The fourth proportional to 204,960.56, 307,253.64 and 71,768 is: 107,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,960.56 : 307,253.64 = 71,768 : x
  2. Step 2: Convert to fraction form
    204,960.56/307,253.64 = 71,768/x
  3. Step 3: Cross multiply
    204,960.56x = 307,253.64 × 71,768
  4. Step 4: Simplify right side
    204,960.56x = 22,050,979,235.52
  5. Step 5: Solve for x
    x = 22,050,979,235.52/204,960.56
  6. Step 6: Final answer
    x = 107,586.45

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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.