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Finding the Fourth Proportional to 194,154.10, 291,231.15 and 115,227.70

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Solution

The fourth proportional to 194,154.10, 291,231.15 and 115,227.70 is: 172,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,154.10 : 291,231.15 = 115,227.70 : x
  2. Step 2: Convert to fraction form
    194,154.10/291,231.15 = 115,227.70/x
  3. Step 3: Cross multiply
    194,154.10x = 291,231.15 × 115,227.70
  4. Step 4: Simplify right side
    194,154.10x = 33,557,895,582.86
  5. Step 5: Solve for x
    x = 33,557,895,582.86/194,154.10
  6. Step 6: Final answer
    x = 172,841.55

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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.