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Finding the Fourth Proportional to 127,940.20, 191,939.10 and 75,322.60

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Solution

The fourth proportional to 127,940.20, 191,939.10 and 75,322.60 is: 113,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,940.20 : 191,939.10 = 75,322.60 : x
  2. Step 2: Convert to fraction form
    127,940.20/191,939.10 = 75,322.60/x
  3. Step 3: Cross multiply
    127,940.20x = 191,939.10 × 75,322.60
  4. Step 4: Simplify right side
    127,940.20x = 14,457,352,053.66
  5. Step 5: Solve for x
    x = 14,457,352,053.66/127,940.20
  6. Step 6: Final answer
    x = 113,000.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.