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Finding the Fourth Proportional to 103,515.52, 155,273.28 and 82,641.28

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Solution

The fourth proportional to 103,515.52, 155,273.28 and 82,641.28 is: 123,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,515.52 : 155,273.28 = 82,641.28 : x
  2. Step 2: Convert to fraction form
    103,515.52/155,273.28 = 82,641.28/x
  3. Step 3: Cross multiply
    103,515.52x = 155,273.28 × 82,641.28
  4. Step 4: Simplify right side
    103,515.52x = 12,831,982,609.00
  5. Step 5: Solve for x
    x = 12,831,982,609.00/103,515.52
  6. Step 6: Final answer
    x = 123,961.92

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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.