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Finding the Fourth Proportional to 85,172.70, 117,512.34 and 49,355.82

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Solution

The fourth proportional to 85,172.70, 117,512.34 and 49,355.82 is: 68,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,172.70 : 117,512.34 = 49,355.82 : x
  2. Step 2: Convert to fraction form
    85,172.70/117,512.34 = 49,355.82/x
  3. Step 3: Cross multiply
    85,172.70x = 117,512.34 × 49,355.82
  4. Step 4: Simplify right side
    85,172.70x = 5,799,917,900.82
  5. Step 5: Solve for x
    x = 5,799,917,900.82/85,172.70
  6. Step 6: Final answer
    x = 68,095.97

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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.