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Finding the Fourth Proportional to 203,963.40, 305,949.96 and 77,587.20

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Solution

The fourth proportional to 203,963.40, 305,949.96 and 77,587.20 is: 116,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,963.40 : 305,949.96 = 77,587.20 : x
  2. Step 2: Convert to fraction form
    203,963.40/305,949.96 = 77,587.20/x
  3. Step 3: Cross multiply
    203,963.40x = 305,949.96 × 77,587.20
  4. Step 4: Simplify right side
    203,963.40x = 23,737,800,736.51
  5. Step 5: Solve for x
    x = 23,737,800,736.51/203,963.40
  6. Step 6: Final answer
    x = 116,382.65

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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.