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Finding the Fourth Proportional to 102,433, 141,396.42 and 68,918.44

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Solution

The fourth proportional to 102,433, 141,396.42 and 68,918.44 is: 95,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,433 : 141,396.42 = 68,918.44 : x
  2. Step 2: Convert to fraction form
    102,433/141,396.42 = 68,918.44/x
  3. Step 3: Cross multiply
    102,433x = 141,396.42 × 68,918.44
  4. Step 4: Simplify right side
    102,433x = 9,744,820,687.98
  5. Step 5: Solve for x
    x = 9,744,820,687.98/102,433
  6. Step 6: Final answer
    x = 95,133.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.