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Finding the Fourth Proportional to 194,318.48, 291,477.72 and 75,906.78

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Solution

The fourth proportional to 194,318.48, 291,477.72 and 75,906.78 is: 113,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,318.48 : 291,477.72 = 75,906.78 : x
  2. Step 2: Convert to fraction form
    194,318.48/291,477.72 = 75,906.78/x
  3. Step 3: Cross multiply
    194,318.48x = 291,477.72 × 75,906.78
  4. Step 4: Simplify right side
    194,318.48x = 22,125,135,166.94
  5. Step 5: Solve for x
    x = 22,125,135,166.94/194,318.48
  6. Step 6: Final answer
    x = 113,860.17

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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.