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Finding the Fourth Proportional to 127,722.41, 176,262.44 and 71,133.78

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Solution

The fourth proportional to 127,722.41, 176,262.44 and 71,133.78 is: 98,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,722.41 : 176,262.44 = 71,133.78 : x
  2. Step 2: Convert to fraction form
    127,722.41/176,262.44 = 71,133.78/x
  3. Step 3: Cross multiply
    127,722.41x = 176,262.44 × 71,133.78
  4. Step 4: Simplify right side
    127,722.41x = 12,538,213,629.22
  5. Step 5: Solve for x
    x = 12,538,213,629.22/127,722.41
  6. Step 6: Final answer
    x = 98,167.69

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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.