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Finding the Fourth Proportional to 71,144.91, 106,721.54 and 26,772.05

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Solution

The fourth proportional to 71,144.91, 106,721.54 and 26,772.05 is: 40,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,144.91 : 106,721.54 = 26,772.05 : x
  2. Step 2: Convert to fraction form
    71,144.91/106,721.54 = 26,772.05/x
  3. Step 3: Cross multiply
    71,144.91x = 106,721.54 × 26,772.05
  4. Step 4: Simplify right side
    71,144.91x = 2,857,153,737.49
  5. Step 5: Solve for x
    x = 2,857,153,737.49/71,144.91
  6. Step 6: Final answer
    x = 40,159.64

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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.