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Finding the Fourth Proportional to 194,902, 268,964.90 and 105,478

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Solution

The fourth proportional to 194,902, 268,964.90 and 105,478 is: 145,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,902 : 268,964.90 = 105,478 : x
  2. Step 2: Convert to fraction form
    194,902/268,964.90 = 105,478/x
  3. Step 3: Cross multiply
    194,902x = 268,964.90 × 105,478
  4. Step 4: Simplify right side
    194,902x = 28,369,879,722.20
  5. Step 5: Solve for x
    x = 28,369,879,722.20/194,902
  6. Step 6: Final answer
    x = 145,559.72

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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.