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Finding the Fourth Proportional to 491,122.81, 736,611.31 and 136,099.81

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Solution

The fourth proportional to 491,122.81, 736,611.31 and 136,099.81 is: 204,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,122.81 : 736,611.31 = 136,099.81 : x
  2. Step 2: Convert to fraction form
    491,122.81/736,611.31 = 136,099.81/x
  3. Step 3: Cross multiply
    491,122.81x = 736,611.31 × 136,099.81
  4. Step 4: Simplify right side
    491,122.81x = 100,252,659,334.85
  5. Step 5: Solve for x
    x = 100,252,659,334.85/491,122.81
  6. Step 6: Final answer
    x = 204,129.51

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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.