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Finding the Fourth Proportional to 203,578.26, 305,411.67 and 85,188.66

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Solution

The fourth proportional to 203,578.26, 305,411.67 and 85,188.66 is: 127,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,578.26 : 305,411.67 = 85,188.66 : x
  2. Step 2: Convert to fraction form
    203,578.26/305,411.67 = 85,188.66/x
  3. Step 3: Cross multiply
    203,578.26x = 305,411.67 × 85,188.66
  4. Step 4: Simplify right side
    203,578.26x = 26,017,610,915.66
  5. Step 5: Solve for x
    x = 26,017,610,915.66/203,578.26
  6. Step 6: Final answer
    x = 127,801.52

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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.