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Finding the Fourth Proportional to 194,042.70, 290,480.85 and 115,116.30

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Solution

The fourth proportional to 194,042.70, 290,480.85 and 115,116.30 is: 172,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,042.70 : 290,480.85 = 115,116.30 : x
  2. Step 2: Convert to fraction form
    194,042.70/290,480.85 = 115,116.30/x
  3. Step 3: Cross multiply
    194,042.70x = 290,480.85 × 115,116.30
  4. Step 4: Simplify right side
    194,042.70x = 33,439,080,672.86
  5. Step 5: Solve for x
    x = 33,439,080,672.86/194,042.70
  6. Step 6: Final answer
    x = 172,328.47

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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.