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Finding the Fourth Proportional to 194,471.20, 291,706.80 and 115,544.80

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Solution

The fourth proportional to 194,471.20, 291,706.80 and 115,544.80 is: 173,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,471.20 : 291,706.80 = 115,544.80 : x
  2. Step 2: Convert to fraction form
    194,471.20/291,706.80 = 115,544.80/x
  3. Step 3: Cross multiply
    194,471.20x = 291,706.80 × 115,544.80
  4. Step 4: Simplify right side
    194,471.20x = 33,705,203,864.64
  5. Step 5: Solve for x
    x = 33,705,203,864.64/194,471.20
  6. Step 6: Final answer
    x = 173,317.20

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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.