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Finding the Fourth Proportional to 70,079.36, 96,709.86 and 38,249

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Solution

The fourth proportional to 70,079.36, 96,709.86 and 38,249 is: 52,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,079.36 : 96,709.86 = 38,249 : x
  2. Step 2: Convert to fraction form
    70,079.36/96,709.86 = 38,249/x
  3. Step 3: Cross multiply
    70,079.36x = 96,709.86 × 38,249
  4. Step 4: Simplify right side
    70,079.36x = 3,699,055,435.14
  5. Step 5: Solve for x
    x = 3,699,055,435.14/70,079.36
  6. Step 6: Final answer
    x = 52,783.81

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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.