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Finding the Fourth Proportional to 189,883.85, 284,737.68 and 69,910.29

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Solution

The fourth proportional to 189,883.85, 284,737.68 and 69,910.29 is: 104,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,883.85 : 284,737.68 = 69,910.29 : x
  2. Step 2: Convert to fraction form
    189,883.85/284,737.68 = 69,910.29/x
  3. Step 3: Cross multiply
    189,883.85x = 284,737.68 × 69,910.29
  4. Step 4: Simplify right side
    189,883.85x = 19,906,093,782.73
  5. Step 5: Solve for x
    x = 19,906,093,782.73/189,883.85
  6. Step 6: Final answer
    x = 104,833.00

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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.