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Finding the Fourth Proportional to 194,874, 268,926.84 and 105,450

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Solution

The fourth proportional to 194,874, 268,926.84 and 105,450 is: 145,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,874 : 268,926.84 = 105,450 : x
  2. Step 2: Convert to fraction form
    194,874/268,926.84 = 105,450/x
  3. Step 3: Cross multiply
    194,874x = 268,926.84 × 105,450
  4. Step 4: Simplify right side
    194,874x = 28,358,335,278.00
  5. Step 5: Solve for x
    x = 28,358,335,278.00/194,874
  6. Step 6: Final answer
    x = 145,521.39

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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.