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Finding the Fourth Proportional to 129,838.71, 194,738.51 and 41,080.67

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Solution

The fourth proportional to 129,838.71, 194,738.51 and 41,080.67 is: 61,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,838.71 : 194,738.51 = 41,080.67 : x
  2. Step 2: Convert to fraction form
    129,838.71/194,738.51 = 41,080.67/x
  3. Step 3: Cross multiply
    129,838.71x = 194,738.51 × 41,080.67
  4. Step 4: Simplify right side
    129,838.71x = 7,999,988,324.88
  5. Step 5: Solve for x
    x = 7,999,988,324.88/129,838.71
  6. Step 6: Final answer
    x = 61,614.81

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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.