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Finding the Fourth Proportional to 71,181.84, 98,231.25 and 38,917.14

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Solution

The fourth proportional to 71,181.84, 98,231.25 and 38,917.14 is: 53,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,181.84 : 98,231.25 = 38,917.14 : x
  2. Step 2: Convert to fraction form
    71,181.84/98,231.25 = 38,917.14/x
  3. Step 3: Cross multiply
    71,181.84x = 98,231.25 × 38,917.14
  4. Step 4: Simplify right side
    71,181.84x = 3,822,879,308.63
  5. Step 5: Solve for x
    x = 3,822,879,308.63/71,181.84
  6. Step 6: Final answer
    x = 53,705.82

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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.