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Finding the Fourth Proportional to 140,338.78, 193,660.47 and 76,664.86

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Solution

The fourth proportional to 140,338.78, 193,660.47 and 76,664.86 is: 105,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,338.78 : 193,660.47 = 76,664.86 : x
  2. Step 2: Convert to fraction form
    140,338.78/193,660.47 = 76,664.86/x
  3. Step 3: Cross multiply
    140,338.78x = 193,660.47 × 76,664.86
  4. Step 4: Simplify right side
    140,338.78x = 14,846,952,820.08
  5. Step 5: Solve for x
    x = 14,846,952,820.08/140,338.78
  6. Step 6: Final answer
    x = 105,793.66

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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.