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Finding the Fourth Proportional to 138,790.44, 191,531.30 and 75,129

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Solution

The fourth proportional to 138,790.44, 191,531.30 and 75,129 is: 103,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,790.44 : 191,531.30 = 75,129 : x
  2. Step 2: Convert to fraction form
    138,790.44/191,531.30 = 75,129/x
  3. Step 3: Cross multiply
    138,790.44x = 191,531.30 × 75,129
  4. Step 4: Simplify right side
    138,790.44x = 14,389,555,037.70
  5. Step 5: Solve for x
    x = 14,389,555,037.70/138,790.44
  6. Step 6: Final answer
    x = 103,678.29

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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.