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Finding the Fourth Proportional to 194,434.80, 291,616.20 and 54,164.40

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Solution

The fourth proportional to 194,434.80, 291,616.20 and 54,164.40 is: 81,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,434.80 : 291,616.20 = 54,164.40 : x
  2. Step 2: Convert to fraction form
    194,434.80/291,616.20 = 54,164.40/x
  3. Step 3: Cross multiply
    194,434.80x = 291,616.20 × 54,164.40
  4. Step 4: Simplify right side
    194,434.80x = 15,795,216,503.28
  5. Step 5: Solve for x
    x = 15,795,216,503.28/194,434.80
  6. Step 6: Final answer
    x = 81,236.57

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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.