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Finding the Fourth Proportional to 70,796.57, 97,698.47 and 38,964.78

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Solution

The fourth proportional to 70,796.57, 97,698.47 and 38,964.78 is: 53,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,796.57 : 97,698.47 = 38,964.78 : x
  2. Step 2: Convert to fraction form
    70,796.57/97,698.47 = 38,964.78/x
  3. Step 3: Cross multiply
    70,796.57x = 97,698.47 × 38,964.78
  4. Step 4: Simplify right side
    70,796.57x = 3,806,799,195.06
  5. Step 5: Solve for x
    x = 3,806,799,195.06/70,796.57
  6. Step 6: Final answer
    x = 53,770.96

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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.