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Finding the Fourth Proportional to 204,740.52, 307,171.74 and 147,942.78

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Solution

The fourth proportional to 204,740.52, 307,171.74 and 147,942.78 is: 221,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,740.52 : 307,171.74 = 147,942.78 : x
  2. Step 2: Convert to fraction form
    204,740.52/307,171.74 = 147,942.78/x
  3. Step 3: Cross multiply
    204,740.52x = 307,171.74 × 147,942.78
  4. Step 4: Simplify right side
    204,740.52x = 45,443,841,153.04
  5. Step 5: Solve for x
    x = 45,443,841,153.04/204,740.52
  6. Step 6: Final answer
    x = 221,958.22

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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.