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Finding the Fourth Proportional to 203,815.92, 305,810.28 and 98,713.20

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Solution

The fourth proportional to 203,815.92, 305,810.28 and 98,713.20 is: 148,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,815.92 : 305,810.28 = 98,713.20 : x
  2. Step 2: Convert to fraction form
    203,815.92/305,810.28 = 98,713.20/x
  3. Step 3: Cross multiply
    203,815.92x = 305,810.28 × 98,713.20
  4. Step 4: Simplify right side
    203,815.92x = 30,187,511,331.70
  5. Step 5: Solve for x
    x = 30,187,511,331.70/203,815.92
  6. Step 6: Final answer
    x = 148,111.65

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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.