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Finding the Fourth Proportional to 204,880, 307,440.96 and 86,543.68

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Solution

The fourth proportional to 204,880, 307,440.96 and 86,543.68 is: 129,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,880 : 307,440.96 = 86,543.68 : x
  2. Step 2: Convert to fraction form
    204,880/307,440.96 = 86,543.68/x
  3. Step 3: Cross multiply
    204,880x = 307,440.96 × 86,543.68
  4. Step 4: Simplify right side
    204,880x = 26,607,072,061.13
  5. Step 5: Solve for x
    x = 26,607,072,061.13/204,880
  6. Step 6: Final answer
    x = 129,866.61

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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.