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Finding the Fourth Proportional to 70,835.97, 97,754.64 and 38,571.78

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Solution

The fourth proportional to 70,835.97, 97,754.64 and 38,571.78 is: 53,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,835.97 : 97,754.64 = 38,571.78 : x
  2. Step 2: Convert to fraction form
    70,835.97/97,754.64 = 38,571.78/x
  3. Step 3: Cross multiply
    70,835.97x = 97,754.64 × 38,571.78
  4. Step 4: Simplify right side
    70,835.97x = 3,770,570,468.06
  5. Step 5: Solve for x
    x = 3,770,570,468.06/70,835.97
  6. Step 6: Final answer
    x = 53,229.60

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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.