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Finding the Fourth Proportional to 194,690, 268,672.20 and 105,266

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Solution

The fourth proportional to 194,690, 268,672.20 and 105,266 is: 145,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,690 : 268,672.20 = 105,266 : x
  2. Step 2: Convert to fraction form
    194,690/268,672.20 = 105,266/x
  3. Step 3: Cross multiply
    194,690x = 268,672.20 × 105,266
  4. Step 4: Simplify right side
    194,690x = 28,282,047,805.20
  5. Step 5: Solve for x
    x = 28,282,047,805.20/194,690
  6. Step 6: Final answer
    x = 145,267.08

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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.