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Finding the Fourth Proportional to 640,136.92, 960,205.72 and 166,821.08

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Solution

The fourth proportional to 640,136.92, 960,205.72 and 166,821.08 is: 250,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,136.92 : 960,205.72 = 166,821.08 : x
  2. Step 2: Convert to fraction form
    640,136.92/960,205.72 = 166,821.08/x
  3. Step 3: Cross multiply
    640,136.92x = 960,205.72 × 166,821.08
  4. Step 4: Simplify right side
    640,136.92x = 160,182,555,232.58
  5. Step 5: Solve for x
    x = 160,182,555,232.58/640,136.92
  6. Step 6: Final answer
    x = 250,231.71

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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.