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Finding the Fourth Proportional to 68,092.68, 102,139.53 and 23,719.36

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Solution

The fourth proportional to 68,092.68, 102,139.53 and 23,719.36 is: 35,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,092.68 : 102,139.53 = 23,719.36 : x
  2. Step 2: Convert to fraction form
    68,092.68/102,139.53 = 23,719.36/x
  3. Step 3: Cross multiply
    68,092.68x = 102,139.53 × 23,719.36
  4. Step 4: Simplify right side
    68,092.68x = 2,422,684,282.30
  5. Step 5: Solve for x
    x = 2,422,684,282.30/68,092.68
  6. Step 6: Final answer
    x = 35,579.22

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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.