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Finding the Fourth Proportional to 177,338.92, 266,005.74 and 82,516

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Solution

The fourth proportional to 177,338.92, 266,005.74 and 82,516 is: 123,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,338.92 : 266,005.74 = 82,516 : x
  2. Step 2: Convert to fraction form
    177,338.92/266,005.74 = 82,516/x
  3. Step 3: Cross multiply
    177,338.92x = 266,005.74 × 82,516
  4. Step 4: Simplify right side
    177,338.92x = 21,949,729,641.84
  5. Step 5: Solve for x
    x = 21,949,729,641.84/177,338.92
  6. Step 6: Final answer
    x = 123,772.77

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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.