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Finding the Fourth Proportional to 70,964.76, 97,936.38 and 40,755

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Solution

The fourth proportional to 70,964.76, 97,936.38 and 40,755 is: 56,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,964.76 : 97,936.38 = 40,755 : x
  2. Step 2: Convert to fraction form
    70,964.76/97,936.38 = 40,755/x
  3. Step 3: Cross multiply
    70,964.76x = 97,936.38 × 40,755
  4. Step 4: Simplify right side
    70,964.76x = 3,991,397,166.90
  5. Step 5: Solve for x
    x = 3,991,397,166.90/70,964.76
  6. Step 6: Final answer
    x = 56,244.78

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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.