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Finding the Fourth Proportional to 204,006.40, 306,009.60 and 141,020.80

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Solution

The fourth proportional to 204,006.40, 306,009.60 and 141,020.80 is: 211,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,006.40 : 306,009.60 = 141,020.80 : x
  2. Step 2: Convert to fraction form
    204,006.40/306,009.60 = 141,020.80/x
  3. Step 3: Cross multiply
    204,006.40x = 306,009.60 × 141,020.80
  4. Step 4: Simplify right side
    204,006.40x = 43,153,718,599.68
  5. Step 5: Solve for x
    x = 43,153,718,599.68/204,006.40
  6. Step 6: Final answer
    x = 211,531.20

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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.