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Finding the Fourth Proportional to 204,073.20, 306,109.80 and 202,104.90

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Solution

The fourth proportional to 204,073.20, 306,109.80 and 202,104.90 is: 303,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,073.20 : 306,109.80 = 202,104.90 : x
  2. Step 2: Convert to fraction form
    204,073.20/306,109.80 = 202,104.90/x
  3. Step 3: Cross multiply
    204,073.20x = 306,109.80 × 202,104.90
  4. Step 4: Simplify right side
    204,073.20x = 61,866,290,518.02
  5. Step 5: Solve for x
    x = 61,866,290,518.02/204,073.20
  6. Step 6: Final answer
    x = 303,157.35

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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.