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Finding the Fourth Proportional to 126,632.66, 174,787.62 and 78,857.78

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Solution

The fourth proportional to 126,632.66, 174,787.62 and 78,857.78 is: 108,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,632.66 : 174,787.62 = 78,857.78 : x
  2. Step 2: Convert to fraction form
    126,632.66/174,787.62 = 78,857.78/x
  3. Step 3: Cross multiply
    126,632.66x = 174,787.62 × 78,857.78
  4. Step 4: Simplify right side
    126,632.66x = 13,783,363,684.68
  5. Step 5: Solve for x
    x = 13,783,363,684.68/126,632.66
  6. Step 6: Final answer
    x = 108,845.25

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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.