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Finding the Fourth Proportional to 68,044.05, 102,082.47 and 66,914.31

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Solution

The fourth proportional to 68,044.05, 102,082.47 and 66,914.31 is: 100,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,044.05 : 102,082.47 = 66,914.31 : x
  2. Step 2: Convert to fraction form
    68,044.05/102,082.47 = 66,914.31/x
  3. Step 3: Cross multiply
    68,044.05x = 102,082.47 × 66,914.31
  4. Step 4: Simplify right side
    68,044.05x = 6,830,778,043.15
  5. Step 5: Solve for x
    x = 6,830,778,043.15/68,044.05
  6. Step 6: Final answer
    x = 100,387.59

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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.