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Finding the Fourth Proportional to 149,659.89, 206,476.49 and 115,215.14

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Solution

The fourth proportional to 149,659.89, 206,476.49 and 115,215.14 is: 158,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,659.89 : 206,476.49 = 115,215.14 : x
  2. Step 2: Convert to fraction form
    149,659.89/206,476.49 = 115,215.14/x
  3. Step 3: Cross multiply
    149,659.89x = 206,476.49 × 115,215.14
  4. Step 4: Simplify right side
    149,659.89x = 23,789,216,093.60
  5. Step 5: Solve for x
    x = 23,789,216,093.60/149,659.89
  6. Step 6: Final answer
    x = 158,955.19

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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.