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Finding the Fourth Proportional to 121,129.28, 167,015.36 and 82,907.28

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Solution

The fourth proportional to 121,129.28, 167,015.36 and 82,907.28 is: 114,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,129.28 : 167,015.36 = 82,907.28 : x
  2. Step 2: Convert to fraction form
    121,129.28/167,015.36 = 82,907.28/x
  3. Step 3: Cross multiply
    121,129.28x = 167,015.36 × 82,907.28
  4. Step 4: Simplify right side
    121,129.28x = 13,846,789,215.82
  5. Step 5: Solve for x
    x = 13,846,789,215.82/121,129.28
  6. Step 6: Final answer
    x = 114,314.14

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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.