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Finding the Fourth Proportional to 138,784.80, 191,512.34 and 78,361.41

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Solution

The fourth proportional to 138,784.80, 191,512.34 and 78,361.41 is: 108,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,784.80 : 191,512.34 = 78,361.41 : x
  2. Step 2: Convert to fraction form
    138,784.80/191,512.34 = 78,361.41/x
  3. Step 3: Cross multiply
    138,784.80x = 191,512.34 × 78,361.41
  4. Step 4: Simplify right side
    138,784.80x = 15,007,176,602.99
  5. Step 5: Solve for x
    x = 15,007,176,602.99/138,784.80
  6. Step 6: Final answer
    x = 108,132.71

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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.