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Finding the Fourth Proportional to 138,951.73, 191,756.94 and 85,266.42

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Solution

The fourth proportional to 138,951.73, 191,756.94 and 85,266.42 is: 117,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,951.73 : 191,756.94 = 85,266.42 : x
  2. Step 2: Convert to fraction form
    138,951.73/191,756.94 = 85,266.42/x
  3. Step 3: Cross multiply
    138,951.73x = 191,756.94 × 85,266.42
  4. Step 4: Simplify right side
    138,951.73x = 16,350,427,783.95
  5. Step 5: Solve for x
    x = 16,350,427,783.95/138,951.73
  6. Step 6: Final answer
    x = 117,669.84

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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.