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Finding the Fourth Proportional to 139,906.97, 193,065.98 and 76,243.40

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Solution

The fourth proportional to 139,906.97, 193,065.98 and 76,243.40 is: 105,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,906.97 : 193,065.98 = 76,243.40 : x
  2. Step 2: Convert to fraction form
    139,906.97/193,065.98 = 76,243.40/x
  3. Step 3: Cross multiply
    139,906.97x = 193,065.98 × 76,243.40
  4. Step 4: Simplify right side
    139,906.97x = 14,720,006,739.53
  5. Step 5: Solve for x
    x = 14,720,006,739.53/139,906.97
  6. Step 6: Final answer
    x = 105,212.82

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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.