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Finding the Fourth Proportional to 180,908.51, 271,366.81 and 68,641.56

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Solution

The fourth proportional to 180,908.51, 271,366.81 and 68,641.56 is: 102,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,908.51 : 271,366.81 = 68,641.56 : x
  2. Step 2: Convert to fraction form
    180,908.51/271,366.81 = 68,641.56/x
  3. Step 3: Cross multiply
    180,908.51x = 271,366.81 × 68,641.56
  4. Step 4: Simplify right side
    180,908.51x = 18,627,040,999.02
  5. Step 5: Solve for x
    x = 18,627,040,999.02/180,908.51
  6. Step 6: Final answer
    x = 102,963.88

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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.