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Finding the Fourth Proportional to 272,136.66, 408,206.29 and 82,598.68

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Solution

The fourth proportional to 272,136.66, 408,206.29 and 82,598.68 is: 123,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,136.66 : 408,206.29 = 82,598.68 : x
  2. Step 2: Convert to fraction form
    272,136.66/408,206.29 = 82,598.68/x
  3. Step 3: Cross multiply
    272,136.66x = 408,206.29 × 82,598.68
  4. Step 4: Simplify right side
    272,136.66x = 33,717,299,494.68
  5. Step 5: Solve for x
    x = 33,717,299,494.68/272,136.66
  6. Step 6: Final answer
    x = 123,898.41

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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.