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Finding the Fourth Proportional to 194,478, 268,372.92 and 109,590

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Solution

The fourth proportional to 194,478, 268,372.92 and 109,590 is: 151,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,478 : 268,372.92 = 109,590 : x
  2. Step 2: Convert to fraction form
    194,478/268,372.92 = 109,590/x
  3. Step 3: Cross multiply
    194,478x = 268,372.92 × 109,590
  4. Step 4: Simplify right side
    194,478x = 29,410,988,302.80
  5. Step 5: Solve for x
    x = 29,410,988,302.80/194,478
  6. Step 6: Final answer
    x = 151,230.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.