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Finding the Fourth Proportional to 20,300.78, 30,436.50 and 9,201.80

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Solution

The fourth proportional to 20,300.78, 30,436.50 and 9,201.80 is: 13,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,300.78 : 30,436.50 = 9,201.80 : x
  2. Step 2: Convert to fraction form
    20,300.78/30,436.50 = 9,201.80/x
  3. Step 3: Cross multiply
    20,300.78x = 30,436.50 × 9,201.80
  4. Step 4: Simplify right side
    20,300.78x = 280,070,585.70
  5. Step 5: Solve for x
    x = 280,070,585.70/20,300.78
  6. Step 6: Final answer
    x = 13,796.05

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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.