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Finding the Fourth Proportional to 68,115.17, 102,189.15 and 21,368.03

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Solution

The fourth proportional to 68,115.17, 102,189.15 and 21,368.03 is: 32,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,115.17 : 102,189.15 = 21,368.03 : x
  2. Step 2: Convert to fraction form
    68,115.17/102,189.15 = 21,368.03/x
  3. Step 3: Cross multiply
    68,115.17x = 102,189.15 × 21,368.03
  4. Step 4: Simplify right side
    68,115.17x = 2,183,580,822.87
  5. Step 5: Solve for x
    x = 2,183,580,822.87/68,115.17
  6. Step 6: Final answer
    x = 32,057.19

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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.