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Finding the Fourth Proportional to 491,122.31, 736,610.56 and 136,099.31

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Solution

The fourth proportional to 491,122.31, 736,610.56 and 136,099.31 is: 204,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,122.31 : 736,610.56 = 136,099.31 : x
  2. Step 2: Convert to fraction form
    491,122.31/736,610.56 = 136,099.31/x
  3. Step 3: Cross multiply
    491,122.31x = 736,610.56 × 136,099.31
  4. Step 4: Simplify right side
    491,122.31x = 100,252,188,954.71
  5. Step 5: Solve for x
    x = 100,252,188,954.71/491,122.31
  6. Step 6: Final answer
    x = 204,128.76

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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.