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Finding the Fourth Proportional to 138,706.56, 191,361.60 and 96,243.84

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Solution

The fourth proportional to 138,706.56, 191,361.60 and 96,243.84 is: 132,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.56 : 191,361.60 = 96,243.84 : x
  2. Step 2: Convert to fraction form
    138,706.56/191,361.60 = 96,243.84/x
  3. Step 3: Cross multiply
    138,706.56x = 191,361.60 × 96,243.84
  4. Step 4: Simplify right side
    138,706.56x = 18,417,375,212.54
  5. Step 5: Solve for x
    x = 18,417,375,212.54/138,706.56
  6. Step 6: Final answer
    x = 132,779.41

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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.