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Finding the Fourth Proportional to 203,570.80, 305,210.40 and 85,181.20

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Solution

The fourth proportional to 203,570.80, 305,210.40 and 85,181.20 is: 127,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,570.80 : 305,210.40 = 85,181.20 : x
  2. Step 2: Convert to fraction form
    203,570.80/305,210.40 = 85,181.20/x
  3. Step 3: Cross multiply
    203,570.80x = 305,210.40 × 85,181.20
  4. Step 4: Simplify right side
    203,570.80x = 25,998,188,124.48
  5. Step 5: Solve for x
    x = 25,998,188,124.48/203,570.80
  6. Step 6: Final answer
    x = 127,710.79

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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.