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Finding the Fourth Proportional to 133,179.72, 183,726 and 82,149.72

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Solution

The fourth proportional to 133,179.72, 183,726 and 82,149.72 is: 113,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,179.72 : 183,726 = 82,149.72 : x
  2. Step 2: Convert to fraction form
    133,179.72/183,726 = 82,149.72/x
  3. Step 3: Cross multiply
    133,179.72x = 183,726 × 82,149.72
  4. Step 4: Simplify right side
    133,179.72x = 15,093,039,456.72
  5. Step 5: Solve for x
    x = 15,093,039,456.72/133,179.72
  6. Step 6: Final answer
    x = 113,328.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.