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Finding the Fourth Proportional to 129,728, 194,617.60 and 40,994.56

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Solution

The fourth proportional to 129,728, 194,617.60 and 40,994.56 is: 61,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,728 : 194,617.60 = 40,994.56 : x
  2. Step 2: Convert to fraction form
    129,728/194,617.60 = 40,994.56/x
  3. Step 3: Cross multiply
    129,728x = 194,617.60 × 40,994.56
  4. Step 4: Simplify right side
    129,728x = 7,978,262,880.26
  5. Step 5: Solve for x
    x = 7,978,262,880.26/129,728
  6. Step 6: Final answer
    x = 61,499.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.