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Finding the Fourth Proportional to 138,940.18, 191,737.62 and 75,277.98

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Solution

The fourth proportional to 138,940.18, 191,737.62 and 75,277.98 is: 103,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.18 : 191,737.62 = 75,277.98 : x
  2. Step 2: Convert to fraction form
    138,940.18/191,737.62 = 75,277.98/x
  3. Step 3: Cross multiply
    138,940.18x = 191,737.62 × 75,277.98
  4. Step 4: Simplify right side
    138,940.18x = 14,433,620,723.61
  5. Step 5: Solve for x
    x = 14,433,620,723.61/138,940.18
  6. Step 6: Final answer
    x = 103,883.71

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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.