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Finding the Fourth Proportional to 205,715.84, 308,553.78 and 139,580.96

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Solution

The fourth proportional to 205,715.84, 308,553.78 and 139,580.96 is: 209,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,715.84 : 308,553.78 = 139,580.96 : x
  2. Step 2: Convert to fraction form
    205,715.84/308,553.78 = 139,580.96/x
  3. Step 3: Cross multiply
    205,715.84x = 308,553.78 × 139,580.96
  4. Step 4: Simplify right side
    205,715.84x = 43,068,232,824.03
  5. Step 5: Solve for x
    x = 43,068,232,824.03/205,715.84
  6. Step 6: Final answer
    x = 209,357.88

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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.