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Finding the Fourth Proportional to 81,208.31, 121,819.82 and 25,049.25

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Solution

The fourth proportional to 81,208.31, 121,819.82 and 25,049.25 is: 37,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,208.31 : 121,819.82 = 25,049.25 : x
  2. Step 2: Convert to fraction form
    81,208.31/121,819.82 = 25,049.25/x
  3. Step 3: Cross multiply
    81,208.31x = 121,819.82 × 25,049.25
  4. Step 4: Simplify right side
    81,208.31x = 3,051,495,000.89
  5. Step 5: Solve for x
    x = 3,051,495,000.89/81,208.31
  6. Step 6: Final answer
    x = 37,576.14

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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.