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Finding the Fourth Proportional to 203,963.82, 305,899.53 and 77,559

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Solution

The fourth proportional to 203,963.82, 305,899.53 and 77,559 is: 116,320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,963.82 : 305,899.53 = 77,559 : x
  2. Step 2: Convert to fraction form
    203,963.82/305,899.53 = 77,559/x
  3. Step 3: Cross multiply
    203,963.82x = 305,899.53 × 77,559
  4. Step 4: Simplify right side
    203,963.82x = 23,725,261,647.27
  5. Step 5: Solve for x
    x = 23,725,261,647.27/203,963.82
  6. Step 6: Final answer
    x = 116,320.93

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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.