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Finding the Fourth Proportional to 102,257.01, 141,120.49 and 61,433.62

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Solution

The fourth proportional to 102,257.01, 141,120.49 and 61,433.62 is: 84,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,257.01 : 141,120.49 = 61,433.62 : x
  2. Step 2: Convert to fraction form
    102,257.01/141,120.49 = 61,433.62/x
  3. Step 3: Cross multiply
    102,257.01x = 141,120.49 × 61,433.62
  4. Step 4: Simplify right side
    102,257.01x = 8,669,542,556.87
  5. Step 5: Solve for x
    x = 8,669,542,556.87/102,257.01
  6. Step 6: Final answer
    x = 84,781.89

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