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Finding the Fourth Proportional to 68,065.68, 102,098.52 and 18,143.16

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Solution

The fourth proportional to 68,065.68, 102,098.52 and 18,143.16 is: 27,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,065.68 : 102,098.52 = 18,143.16 : x
  2. Step 2: Convert to fraction form
    68,065.68/102,098.52 = 18,143.16/x
  3. Step 3: Cross multiply
    68,065.68x = 102,098.52 × 18,143.16
  4. Step 4: Simplify right side
    68,065.68x = 1,852,389,784.12
  5. Step 5: Solve for x
    x = 1,852,389,784.12/68,065.68
  6. Step 6: Final answer
    x = 27,214.74

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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.