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Finding the Fourth Proportional to 194,206.20, 291,318.90 and 100,894.20

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Solution

The fourth proportional to 194,206.20, 291,318.90 and 100,894.20 is: 151,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,206.20 : 291,318.90 = 100,894.20 : x
  2. Step 2: Convert to fraction form
    194,206.20/291,318.90 = 100,894.20/x
  3. Step 3: Cross multiply
    194,206.20x = 291,318.90 × 100,894.20
  4. Step 4: Simplify right side
    194,206.20x = 29,392,387,360.38
  5. Step 5: Solve for x
    x = 29,392,387,360.38/194,206.20
  6. Step 6: Final answer
    x = 151,346.29

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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.