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Finding the Fourth Proportional to 129,429, 194,143.50 and 35,934.84

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Solution

The fourth proportional to 129,429, 194,143.50 and 35,934.84 is: 53,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,429 : 194,143.50 = 35,934.84 : x
  2. Step 2: Convert to fraction form
    129,429/194,143.50 = 35,934.84/x
  3. Step 3: Cross multiply
    129,429x = 194,143.50 × 35,934.84
  4. Step 4: Simplify right side
    129,429x = 6,976,515,609.54
  5. Step 5: Solve for x
    x = 6,976,515,609.54/129,429
  6. Step 6: Final answer
    x = 53,902.26

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1.5x scale

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.