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Finding the Fourth Proportional to 138,953.64, 191,755.44 and 75,291.69

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Solution

The fourth proportional to 138,953.64, 191,755.44 and 75,291.69 is: 103,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,953.64 : 191,755.44 = 75,291.69 : x
  2. Step 2: Convert to fraction form
    138,953.64/191,755.44 = 75,291.69/x
  3. Step 3: Cross multiply
    138,953.64x = 191,755.44 × 75,291.69
  4. Step 4: Simplify right side
    138,953.64x = 14,437,591,144.29
  5. Step 5: Solve for x
    x = 14,437,591,144.29/138,953.64
  6. Step 6: Final answer
    x = 103,902.22

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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.