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Finding the Fourth Proportional to 138,963.37, 191,770.11 and 75,301.30

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Solution

The fourth proportional to 138,963.37, 191,770.11 and 75,301.30 is: 103,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,963.37 : 191,770.11 = 75,301.30 : x
  2. Step 2: Convert to fraction form
    138,963.37/191,770.11 = 75,301.30/x
  3. Step 3: Cross multiply
    138,963.37x = 191,770.11 × 75,301.30
  4. Step 4: Simplify right side
    138,963.37x = 14,440,538,584.14
  5. Step 5: Solve for x
    x = 14,440,538,584.14/138,963.37
  6. Step 6: Final answer
    x = 103,916.15

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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.