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Finding the Fourth Proportional to 273,109.92, 409,664.88 and 86,136

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Solution

The fourth proportional to 273,109.92, 409,664.88 and 86,136 is: 129,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,109.92 : 409,664.88 = 86,136 : x
  2. Step 2: Convert to fraction form
    273,109.92/409,664.88 = 86,136/x
  3. Step 3: Cross multiply
    273,109.92x = 409,664.88 × 86,136
  4. Step 4: Simplify right side
    273,109.92x = 35,286,894,103.68
  5. Step 5: Solve for x
    x = 35,286,894,103.68/273,109.92
  6. Step 6: Final answer
    x = 129,204.00

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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.