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Finding the Fourth Proportional to 82,117.33, 123,193.91 and 25,191.54

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Solution

The fourth proportional to 82,117.33, 123,193.91 and 25,191.54 is: 37,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,117.33 : 123,193.91 = 25,191.54 : x
  2. Step 2: Convert to fraction form
    82,117.33/123,193.91 = 25,191.54/x
  3. Step 3: Cross multiply
    82,117.33x = 123,193.91 × 25,191.54
  4. Step 4: Simplify right side
    82,117.33x = 3,103,444,374.50
  5. Step 5: Solve for x
    x = 3,103,444,374.50/82,117.33
  6. Step 6: Final answer
    x = 37,792.81

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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.