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Finding the Fourth Proportional to 140,076.95, 193,306.10 and 76,414.59

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Solution

The fourth proportional to 140,076.95, 193,306.10 and 76,414.59 is: 105,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,076.95 : 193,306.10 = 76,414.59 : x
  2. Step 2: Convert to fraction form
    140,076.95/193,306.10 = 76,414.59/x
  3. Step 3: Cross multiply
    140,076.95x = 193,306.10 × 76,414.59
  4. Step 4: Simplify right side
    140,076.95x = 14,771,405,993.93
  5. Step 5: Solve for x
    x = 14,771,405,993.93/140,076.95
  6. Step 6: Final answer
    x = 105,452.09

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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.