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Finding the Fourth Proportional to 129,952.36, 194,990.51 and 70,786.72

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Solution

The fourth proportional to 129,952.36, 194,990.51 and 70,786.72 is: 106,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,952.36 : 194,990.51 = 70,786.72 : x
  2. Step 2: Convert to fraction form
    129,952.36/194,990.51 = 70,786.72/x
  3. Step 3: Cross multiply
    129,952.36x = 194,990.51 × 70,786.72
  4. Step 4: Simplify right side
    129,952.36x = 13,802,738,634.03
  5. Step 5: Solve for x
    x = 13,802,738,634.03/129,952.36
  6. Step 6: Final answer
    x = 106,213.84

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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.