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Finding the Fourth Proportional to 194,710.88, 268,701 and 105,286.88

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Solution

The fourth proportional to 194,710.88, 268,701 and 105,286.88 is: 145,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,710.88 : 268,701 = 105,286.88 : x
  2. Step 2: Convert to fraction form
    194,710.88/268,701 = 105,286.88/x
  3. Step 3: Cross multiply
    194,710.88x = 268,701 × 105,286.88
  4. Step 4: Simplify right side
    194,710.88x = 28,290,689,942.88
  5. Step 5: Solve for x
    x = 28,290,689,942.88/194,710.88
  6. Step 6: Final answer
    x = 145,295.89

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1.5x scale

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.