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Finding the Fourth Proportional to 129,396.28, 194,094.36 and 35,902

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Solution

The fourth proportional to 129,396.28, 194,094.36 and 35,902 is: 53,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,396.28 : 194,094.36 = 35,902 : x
  2. Step 2: Convert to fraction form
    129,396.28/194,094.36 = 35,902/x
  3. Step 3: Cross multiply
    129,396.28x = 194,094.36 × 35,902
  4. Step 4: Simplify right side
    129,396.28x = 6,968,375,712.72
  5. Step 5: Solve for x
    x = 6,968,375,712.72/129,396.28
  6. Step 6: Final answer
    x = 53,852.98

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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.