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Finding the Fourth Proportional to 68,493.17, 102,749.42 and 21,112.11

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Solution

The fourth proportional to 68,493.17, 102,749.42 and 21,112.11 is: 31,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,493.17 : 102,749.42 = 21,112.11 : x
  2. Step 2: Convert to fraction form
    68,493.17/102,749.42 = 21,112.11/x
  3. Step 3: Cross multiply
    68,493.17x = 102,749.42 × 21,112.11
  4. Step 4: Simplify right side
    68,493.17x = 2,169,257,110.26
  5. Step 5: Solve for x
    x = 2,169,257,110.26/68,493.17
  6. Step 6: Final answer
    x = 31,671.14

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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.