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Finding the Fourth Proportional to 138,958.75, 191,763.74 and 75,296.66

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Solution

The fourth proportional to 138,958.75, 191,763.74 and 75,296.66 is: 103,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,958.75 : 191,763.74 = 75,296.66 : x
  2. Step 2: Convert to fraction form
    138,958.75/191,763.74 = 75,296.66/x
  3. Step 3: Cross multiply
    138,958.75x = 191,763.74 × 75,296.66
  4. Step 4: Simplify right side
    138,958.75x = 14,439,168,754.63
  5. Step 5: Solve for x
    x = 14,439,168,754.63/138,958.75
  6. Step 6: Final answer
    x = 103,909.75

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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.