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Finding the Fourth Proportional to 77,706.10, 107,231.07 and 43,714

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Solution

The fourth proportional to 77,706.10, 107,231.07 and 43,714 is: 60,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,706.10 : 107,231.07 = 43,714 : x
  2. Step 2: Convert to fraction form
    77,706.10/107,231.07 = 43,714/x
  3. Step 3: Cross multiply
    77,706.10x = 107,231.07 × 43,714
  4. Step 4: Simplify right side
    77,706.10x = 4,687,498,993.98
  5. Step 5: Solve for x
    x = 4,687,498,993.98/77,706.10
  6. Step 6: Final answer
    x = 60,323.44

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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.