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Finding the Fourth Proportional to 138,915.48, 208,371.69 and 33,734.55

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Solution

The fourth proportional to 138,915.48, 208,371.69 and 33,734.55 is: 50,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,915.48 : 208,371.69 = 33,734.55 : x
  2. Step 2: Convert to fraction form
    138,915.48/208,371.69 = 33,734.55/x
  3. Step 3: Cross multiply
    138,915.48x = 208,371.69 × 33,734.55
  4. Step 4: Simplify right side
    138,915.48x = 7,029,325,194.89
  5. Step 5: Solve for x
    x = 7,029,325,194.89/138,915.48
  6. Step 6: Final answer
    x = 50,601.45

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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.