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Finding the Fourth Proportional to 68,282.16, 102,423.24 and 21,538.68

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Solution

The fourth proportional to 68,282.16, 102,423.24 and 21,538.68 is: 32,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,282.16 : 102,423.24 = 21,538.68 : x
  2. Step 2: Convert to fraction form
    68,282.16/102,423.24 = 21,538.68/x
  3. Step 3: Cross multiply
    68,282.16x = 102,423.24 × 21,538.68
  4. Step 4: Simplify right side
    68,282.16x = 2,206,061,390.92
  5. Step 5: Solve for x
    x = 2,206,061,390.92/68,282.16
  6. Step 6: Final answer
    x = 32,308.02

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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.