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Finding the Fourth Proportional to 138,774, 191,507.76 and 75,111.78

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Solution

The fourth proportional to 138,774, 191,507.76 and 75,111.78 is: 103,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,774 : 191,507.76 = 75,111.78 : x
  2. Step 2: Convert to fraction form
    138,774/191,507.76 = 75,111.78/x
  3. Step 3: Cross multiply
    138,774x = 191,507.76 × 75,111.78
  4. Step 4: Simplify right side
    138,774x = 14,384,488,737.41
  5. Step 5: Solve for x
    x = 14,384,488,737.41/138,774
  6. Step 6: Final answer
    x = 103,654.06

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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.