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Finding the Fourth Proportional to 132,906.84, 183,415.86 and 72,480.78

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Solution

The fourth proportional to 132,906.84, 183,415.86 and 72,480.78 is: 100,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,906.84 : 183,415.86 = 72,480.78 : x
  2. Step 2: Convert to fraction form
    132,906.84/183,415.86 = 72,480.78/x
  3. Step 3: Cross multiply
    132,906.84x = 183,415.86 × 72,480.78
  4. Step 4: Simplify right side
    132,906.84x = 13,294,123,680.09
  5. Step 5: Solve for x
    x = 13,294,123,680.09/132,906.84
  6. Step 6: Final answer
    x = 100,025.88

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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.