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Finding the Fourth Proportional to 204,006.80, 306,010.20 and 99,030.80

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Solution

The fourth proportional to 204,006.80, 306,010.20 and 99,030.80 is: 148,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,006.80 : 306,010.20 = 99,030.80 : x
  2. Step 2: Convert to fraction form
    204,006.80/306,010.20 = 99,030.80/x
  3. Step 3: Cross multiply
    204,006.80x = 306,010.20 × 99,030.80
  4. Step 4: Simplify right side
    204,006.80x = 30,304,434,914.16
  5. Step 5: Solve for x
    x = 30,304,434,914.16/204,006.80
  6. Step 6: Final answer
    x = 148,546.20

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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.