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Finding the Fourth Proportional to 204,065.40, 306,098.10 and 147,640.80

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Solution

The fourth proportional to 204,065.40, 306,098.10 and 147,640.80 is: 221,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,065.40 : 306,098.10 = 147,640.80 : x
  2. Step 2: Convert to fraction form
    204,065.40/306,098.10 = 147,640.80/x
  3. Step 3: Cross multiply
    204,065.40x = 306,098.10 × 147,640.80
  4. Step 4: Simplify right side
    204,065.40x = 45,192,568,362.48
  5. Step 5: Solve for x
    x = 45,192,568,362.48/204,065.40
  6. Step 6: Final answer
    x = 221,461.20

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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.