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Finding the Fourth Proportional to 121,139.28, 167,029.14 and 82,917.28

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Solution

The fourth proportional to 121,139.28, 167,029.14 and 82,917.28 is: 114,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,139.28 : 167,029.14 = 82,917.28 : x
  2. Step 2: Convert to fraction form
    121,139.28/167,029.14 = 82,917.28/x
  3. Step 3: Cross multiply
    121,139.28x = 167,029.14 × 82,917.28
  4. Step 4: Simplify right side
    121,139.28x = 13,849,601,969.54
  5. Step 5: Solve for x
    x = 13,849,601,969.54/121,139.28
  6. Step 6: Final answer
    x = 114,327.92

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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.