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Finding the Fourth Proportional to 68,458.70, 102,691.72 and 21,715.22

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Solution

The fourth proportional to 68,458.70, 102,691.72 and 21,715.22 is: 32,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,458.70 : 102,691.72 = 21,715.22 : x
  2. Step 2: Convert to fraction form
    68,458.70/102,691.72 = 21,715.22/x
  3. Step 3: Cross multiply
    68,458.70x = 102,691.72 × 21,715.22
  4. Step 4: Simplify right side
    68,458.70x = 2,229,973,291.98
  5. Step 5: Solve for x
    x = 2,229,973,291.98/68,458.70
  6. Step 6: Final answer
    x = 32,573.99

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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.