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Finding the Fourth Proportional to 100,787.31, 151,194.86 and 34,209.56

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Solution

The fourth proportional to 100,787.31, 151,194.86 and 34,209.56 is: 51,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,787.31 : 151,194.86 = 34,209.56 : x
  2. Step 2: Convert to fraction form
    100,787.31/151,194.86 = 34,209.56/x
  3. Step 3: Cross multiply
    100,787.31x = 151,194.86 × 34,209.56
  4. Step 4: Simplify right side
    100,787.31x = 5,172,309,970.09
  5. Step 5: Solve for x
    x = 5,172,309,970.09/100,787.31
  6. Step 6: Final answer
    x = 51,319.06

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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.