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Finding the Fourth Proportional to 81,959.81, 122,915.42 and 35,201.75

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Solution

The fourth proportional to 81,959.81, 122,915.42 and 35,201.75 is: 52,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,959.81 : 122,915.42 = 35,201.75 : x
  2. Step 2: Convert to fraction form
    81,959.81/122,915.42 = 35,201.75/x
  3. Step 3: Cross multiply
    81,959.81x = 122,915.42 × 35,201.75
  4. Step 4: Simplify right side
    81,959.81x = 4,326,837,709.98
  5. Step 5: Solve for x
    x = 4,326,837,709.98/81,959.81
  6. Step 6: Final answer
    x = 52,792.19

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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.