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Finding the Fourth Proportional to 138,959.25, 191,764.43 and 75,297.16

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Solution

The fourth proportional to 138,959.25, 191,764.43 and 75,297.16 is: 103,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,959.25 : 191,764.43 = 75,297.16 : x
  2. Step 2: Convert to fraction form
    138,959.25/191,764.43 = 75,297.16/x
  3. Step 3: Cross multiply
    138,959.25x = 191,764.43 × 75,297.16
  4. Step 4: Simplify right side
    138,959.25x = 14,439,316,591.53
  5. Step 5: Solve for x
    x = 14,439,316,591.53/138,959.25
  6. Step 6: Final answer
    x = 103,910.44

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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.