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Finding the Fourth Proportional to 203,725.74, 305,590.13 and 77,331.91

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Solution

The fourth proportional to 203,725.74, 305,590.13 and 77,331.91 is: 115,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,725.74 : 305,590.13 = 77,331.91 : x
  2. Step 2: Convert to fraction form
    203,725.74/305,590.13 = 77,331.91/x
  3. Step 3: Cross multiply
    203,725.74x = 305,590.13 × 77,331.91
  4. Step 4: Simplify right side
    203,725.74x = 23,631,868,430.05
  5. Step 5: Solve for x
    x = 23,631,868,430.05/203,725.74
  6. Step 6: Final answer
    x = 115,998.44

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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.