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Finding the Fourth Proportional to 129,523.19, 194,310.98 and 54,643.49

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Solution

The fourth proportional to 129,523.19, 194,310.98 and 54,643.49 is: 81,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,523.19 : 194,310.98 = 54,643.49 : x
  2. Step 2: Convert to fraction form
    129,523.19/194,310.98 = 54,643.49/x
  3. Step 3: Cross multiply
    129,523.19x = 194,310.98 × 54,643.49
  4. Step 4: Simplify right side
    129,523.19x = 10,617,830,720.64
  5. Step 5: Solve for x
    x = 10,617,830,720.64/129,523.19
  6. Step 6: Final answer
    x = 81,976.29

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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.