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Finding the Fourth Proportional to 194,149.81, 291,105.79 and 75,682.75

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Solution

The fourth proportional to 194,149.81, 291,105.79 and 75,682.75 is: 113,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,149.81 : 291,105.79 = 75,682.75 : x
  2. Step 2: Convert to fraction form
    194,149.81/291,105.79 = 75,682.75/x
  3. Step 3: Cross multiply
    194,149.81x = 291,105.79 × 75,682.75
  4. Step 4: Simplify right side
    194,149.81x = 22,031,686,728.12
  5. Step 5: Solve for x
    x = 22,031,686,728.12/194,149.81
  6. Step 6: Final answer
    x = 113,477.77

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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.