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Finding the Fourth Proportional to 189,728.52, 284,561.61 and 68,123.89

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Solution

The fourth proportional to 189,728.52, 284,561.61 and 68,123.89 is: 102,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,728.52 : 284,561.61 = 68,123.89 : x
  2. Step 2: Convert to fraction form
    189,728.52/284,561.61 = 68,123.89/x
  3. Step 3: Cross multiply
    189,728.52x = 284,561.61 × 68,123.89
  4. Step 4: Simplify right side
    189,728.52x = 19,385,442,317.44
  5. Step 5: Solve for x
    x = 19,385,442,317.44/189,728.52
  6. Step 6: Final answer
    x = 102,174.64

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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.