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Finding the Fourth Proportional to 71,098.11, 98,115.39 and 39,267

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Solution

The fourth proportional to 71,098.11, 98,115.39 and 39,267 is: 54,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,098.11 : 98,115.39 = 39,267 : x
  2. Step 2: Convert to fraction form
    71,098.11/98,115.39 = 39,267/x
  3. Step 3: Cross multiply
    71,098.11x = 98,115.39 × 39,267
  4. Step 4: Simplify right side
    71,098.11x = 3,852,697,019.13
  5. Step 5: Solve for x
    x = 3,852,697,019.13/71,098.11
  6. Step 6: Final answer
    x = 54,188.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.