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Finding the Fourth Proportional to 68,129.87, 102,165.64 and 23,743.49

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Solution

The fourth proportional to 68,129.87, 102,165.64 and 23,743.49 is: 35,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,129.87 : 102,165.64 = 23,743.49 : x
  2. Step 2: Convert to fraction form
    68,129.87/102,165.64 = 23,743.49/x
  3. Step 3: Cross multiply
    68,129.87x = 102,165.64 × 23,743.49
  4. Step 4: Simplify right side
    68,129.87x = 2,425,768,281.50
  5. Step 5: Solve for x
    x = 2,425,768,281.50/68,129.87
  6. Step 6: Final answer
    x = 35,605.07

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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.