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Finding the Fourth Proportional to 85,284, 127,972.08 and 41,508

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Solution

The fourth proportional to 85,284, 127,972.08 and 41,508 is: 62,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,284 : 127,972.08 = 41,508 : x
  2. Step 2: Convert to fraction form
    85,284/127,972.08 = 41,508/x
  3. Step 3: Cross multiply
    85,284x = 127,972.08 × 41,508
  4. Step 4: Simplify right side
    85,284x = 5,311,865,096.64
  5. Step 5: Solve for x
    x = 5,311,865,096.64/85,284
  6. Step 6: Final answer
    x = 62,284.43

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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.