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Finding the Fourth Proportional to 140,093.22, 193,324.80 and 76,431

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Solution

The fourth proportional to 140,093.22, 193,324.80 and 76,431 is: 105,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,093.22 : 193,324.80 = 76,431 : x
  2. Step 2: Convert to fraction form
    140,093.22/193,324.80 = 76,431/x
  3. Step 3: Cross multiply
    140,093.22x = 193,324.80 × 76,431
  4. Step 4: Simplify right side
    140,093.22x = 14,776,007,788.80
  5. Step 5: Solve for x
    x = 14,776,007,788.80/140,093.22
  6. Step 6: Final answer
    x = 105,472.68

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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.