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Finding the Fourth Proportional to 138,994.85, 191,812.78 and 75,332.63

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Solution

The fourth proportional to 138,994.85, 191,812.78 and 75,332.63 is: 103,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,994.85 : 191,812.78 = 75,332.63 : x
  2. Step 2: Convert to fraction form
    138,994.85/191,812.78 = 75,332.63/x
  3. Step 3: Cross multiply
    138,994.85x = 191,812.78 × 75,332.63
  4. Step 4: Simplify right side
    138,994.85x = 14,449,761,185.01
  5. Step 5: Solve for x
    x = 14,449,761,185.01/138,994.85
  6. Step 6: Final answer
    x = 103,958.97

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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.