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Finding the Fourth Proportional to 68,181.71, 102,201.47 and 38,151.92

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Solution

The fourth proportional to 68,181.71, 102,201.47 and 38,151.92 is: 57,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,181.71 : 102,201.47 = 38,151.92 : x
  2. Step 2: Convert to fraction form
    68,181.71/102,201.47 = 38,151.92/x
  3. Step 3: Cross multiply
    68,181.71x = 102,201.47 × 38,151.92
  4. Step 4: Simplify right side
    68,181.71x = 3,899,182,116.56
  5. Step 5: Solve for x
    x = 3,899,182,116.56/68,181.71
  6. Step 6: Final answer
    x = 57,188.10

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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.