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Finding the Fourth Proportional to 129,670.72, 194,506.08 and 67,210

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Solution

The fourth proportional to 129,670.72, 194,506.08 and 67,210 is: 100,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,670.72 : 194,506.08 = 67,210 : x
  2. Step 2: Convert to fraction form
    129,670.72/194,506.08 = 67,210/x
  3. Step 3: Cross multiply
    129,670.72x = 194,506.08 × 67,210
  4. Step 4: Simplify right side
    129,670.72x = 13,072,753,636.80
  5. Step 5: Solve for x
    x = 13,072,753,636.80/129,670.72
  6. Step 6: Final answer
    x = 100,815

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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.