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Finding the Fourth Proportional to 194,840, 268,879.20 and 105,416

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Solution

The fourth proportional to 194,840, 268,879.20 and 105,416 is: 145,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,840 : 268,879.20 = 105,416 : x
  2. Step 2: Convert to fraction form
    194,840/268,879.20 = 105,416/x
  3. Step 3: Cross multiply
    194,840x = 268,879.20 × 105,416
  4. Step 4: Simplify right side
    194,840x = 28,344,169,747.20
  5. Step 5: Solve for x
    x = 28,344,169,747.20/194,840
  6. Step 6: Final answer
    x = 145,474.08

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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.