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Finding the Fourth Proportional to 70,799.28, 97,687.32 and 40,974

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Solution

The fourth proportional to 70,799.28, 97,687.32 and 40,974 is: 56,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,799.28 : 97,687.32 = 40,974 : x
  2. Step 2: Convert to fraction form
    70,799.28/97,687.32 = 40,974/x
  3. Step 3: Cross multiply
    70,799.28x = 97,687.32 × 40,974
  4. Step 4: Simplify right side
    70,799.28x = 4,002,640,249.68
  5. Step 5: Solve for x
    x = 4,002,640,249.68/70,799.28
  6. Step 6: Final answer
    x = 56,535.04

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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.