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Finding the Fourth Proportional to 185,606, 256,136.46 and 100,723.08

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Solution

The fourth proportional to 185,606, 256,136.46 and 100,723.08 is: 138,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,606 : 256,136.46 = 100,723.08 : x
  2. Step 2: Convert to fraction form
    185,606/256,136.46 = 100,723.08/x
  3. Step 3: Cross multiply
    185,606x = 256,136.46 × 100,723.08
  4. Step 4: Simplify right side
    185,606x = 25,798,853,151.50
  5. Step 5: Solve for x
    x = 25,798,853,151.50/185,606
  6. Step 6: Final answer
    x = 138,997.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.