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Finding the Fourth Proportional to 85,102.72, 117,423.94 and 49,290.60

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Solution

The fourth proportional to 85,102.72, 117,423.94 and 49,290.60 is: 68,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,102.72 : 117,423.94 = 49,290.60 : x
  2. Step 2: Convert to fraction form
    85,102.72/117,423.94 = 49,290.60/x
  3. Step 3: Cross multiply
    85,102.72x = 117,423.94 × 49,290.60
  4. Step 4: Simplify right side
    85,102.72x = 5,787,896,456.96
  5. Step 5: Solve for x
    x = 5,787,896,456.96/85,102.72
  6. Step 6: Final answer
    x = 68,010.71

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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.