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Finding the Fourth Proportional to 268,136.73, 402,204.74 and 68,457.15

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Solution

The fourth proportional to 268,136.73, 402,204.74 and 68,457.15 is: 102,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,136.73 : 402,204.74 = 68,457.15 : x
  2. Step 2: Convert to fraction form
    268,136.73/402,204.74 = 68,457.15/x
  3. Step 3: Cross multiply
    268,136.73x = 402,204.74 × 68,457.15
  4. Step 4: Simplify right side
    268,136.73x = 27,533,790,259.68
  5. Step 5: Solve for x
    x = 27,533,790,259.68/268,136.73
  6. Step 6: Final answer
    x = 102,685.63

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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.