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Finding the Fourth Proportional to 138,873.86, 191,645.74 and 75,211.91

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Solution

The fourth proportional to 138,873.86, 191,645.74 and 75,211.91 is: 103,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,873.86 : 191,645.74 = 75,211.91 : x
  2. Step 2: Convert to fraction form
    138,873.86/191,645.74 = 75,211.91/x
  3. Step 3: Cross multiply
    138,873.86x = 191,645.74 × 75,211.91
  4. Step 4: Simplify right side
    138,873.86x = 14,414,042,148.76
  5. Step 5: Solve for x
    x = 14,414,042,148.76/138,873.86
  6. Step 6: Final answer
    x = 103,792.33

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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.