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Finding the Fourth Proportional to 70,807.26, 97,714 and 38,976

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Solution

The fourth proportional to 70,807.26, 97,714 and 38,976 is: 53,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,807.26 : 97,714 = 38,976 : x
  2. Step 2: Convert to fraction form
    70,807.26/97,714 = 38,976/x
  3. Step 3: Cross multiply
    70,807.26x = 97,714 × 38,976
  4. Step 4: Simplify right side
    70,807.26x = 3,808,500,864
  5. Step 5: Solve for x
    x = 3,808,500,864/70,807.26
  6. Step 6: Final answer
    x = 53,786.87

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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.