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Finding the Fourth Proportional to 138,940.78, 191,737.88 and 75,278.74

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Solution

The fourth proportional to 138,940.78, 191,737.88 and 75,278.74 is: 103,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.78 : 191,737.88 = 75,278.74 : x
  2. Step 2: Convert to fraction form
    138,940.78/191,737.88 = 75,278.74/x
  3. Step 3: Cross multiply
    138,940.78x = 191,737.88 × 75,278.74
  4. Step 4: Simplify right side
    138,940.78x = 14,433,786,016.67
  5. Step 5: Solve for x
    x = 14,433,786,016.67/138,940.78
  6. Step 6: Final answer
    x = 103,884.45

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1.5x scale

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.