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Finding the Fourth Proportional to 203,843.80, 305,765.70 and 154,077.40

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Solution

The fourth proportional to 203,843.80, 305,765.70 and 154,077.40 is: 231,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,843.80 : 305,765.70 = 154,077.40 : x
  2. Step 2: Convert to fraction form
    203,843.80/305,765.70 = 154,077.40/x
  3. Step 3: Cross multiply
    203,843.80x = 305,765.70 × 154,077.40
  4. Step 4: Simplify right side
    203,843.80x = 47,111,584,065.18
  5. Step 5: Solve for x
    x = 47,111,584,065.18/203,843.80
  6. Step 6: Final answer
    x = 231,116.10

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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.