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Finding the Fourth Proportional to 129,432, 194,148 and 35,937.84

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Solution

The fourth proportional to 129,432, 194,148 and 35,937.84 is: 53,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,432 : 194,148 = 35,937.84 : x
  2. Step 2: Convert to fraction form
    129,432/194,148 = 35,937.84/x
  3. Step 3: Cross multiply
    129,432x = 194,148 × 35,937.84
  4. Step 4: Simplify right side
    129,432x = 6,977,259,760.32
  5. Step 5: Solve for x
    x = 6,977,259,760.32/129,432
  6. Step 6: Final answer
    x = 53,906.76

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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.