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Finding the Fourth Proportional to 68,452.10, 102,687.88 and 21,071.14

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Solution

The fourth proportional to 68,452.10, 102,687.88 and 21,071.14 is: 31,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,452.10 : 102,687.88 = 21,071.14 : x
  2. Step 2: Convert to fraction form
    68,452.10/102,687.88 = 21,071.14/x
  3. Step 3: Cross multiply
    68,452.10x = 102,687.88 × 21,071.14
  4. Step 4: Simplify right side
    68,452.10x = 2,163,750,934.75
  5. Step 5: Solve for x
    x = 2,163,750,934.75/68,452.10
  6. Step 6: Final answer
    x = 31,609.71

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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.