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Finding the Fourth Proportional to 204,047.20, 306,070.80 and 202,078.90

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Solution

The fourth proportional to 204,047.20, 306,070.80 and 202,078.90 is: 303,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,047.20 : 306,070.80 = 202,078.90 : x
  2. Step 2: Convert to fraction form
    204,047.20/306,070.80 = 202,078.90/x
  3. Step 3: Cross multiply
    204,047.20x = 306,070.80 × 202,078.90
  4. Step 4: Simplify right side
    204,047.20x = 61,850,450,586.12
  5. Step 5: Solve for x
    x = 61,850,450,586.12/204,047.20
  6. Step 6: Final answer
    x = 303,118.35

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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.