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Finding the Fourth Proportional to 138,873.54, 191,645.64 and 75,211.41

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Solution

The fourth proportional to 138,873.54, 191,645.64 and 75,211.41 is: 103,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,873.54 : 191,645.64 = 75,211.41 : x
  2. Step 2: Convert to fraction form
    138,873.54/191,645.64 = 75,211.41/x
  3. Step 3: Cross multiply
    138,873.54x = 191,645.64 × 75,211.41
  4. Step 4: Simplify right side
    138,873.54x = 14,413,938,804.75
  5. Step 5: Solve for x
    x = 14,413,938,804.75/138,873.54
  6. Step 6: Final answer
    x = 103,791.83

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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.