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Finding the Fourth Proportional to 129,715.80, 194,559.08 and 34,953

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Solution

The fourth proportional to 129,715.80, 194,559.08 and 34,953 is: 52,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,715.80 : 194,559.08 = 34,953 : x
  2. Step 2: Convert to fraction form
    129,715.80/194,559.08 = 34,953/x
  3. Step 3: Cross multiply
    129,715.80x = 194,559.08 × 34,953
  4. Step 4: Simplify right side
    129,715.80x = 6,800,423,523.24
  5. Step 5: Solve for x
    x = 6,800,423,523.24/129,715.80
  6. Step 6: Final answer
    x = 52,425.56

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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.