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Finding the Fourth Proportional to 194,639.20, 291,958.80 and 178,892.80

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Solution

The fourth proportional to 194,639.20, 291,958.80 and 178,892.80 is: 268,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,639.20 : 291,958.80 = 178,892.80 : x
  2. Step 2: Convert to fraction form
    194,639.20/291,958.80 = 178,892.80/x
  3. Step 3: Cross multiply
    194,639.20x = 291,958.80 × 178,892.80
  4. Step 4: Simplify right side
    194,639.20x = 52,229,327,216.64
  5. Step 5: Solve for x
    x = 52,229,327,216.64/194,639.20
  6. Step 6: Final answer
    x = 268,339.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.