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Finding the Fourth Proportional to 201,876.77, 302,815.61 and 189,545.73

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Solution

The fourth proportional to 201,876.77, 302,815.61 and 189,545.73 is: 284,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,876.77 : 302,815.61 = 189,545.73 : x
  2. Step 2: Convert to fraction form
    201,876.77/302,815.61 = 189,545.73/x
  3. Step 3: Cross multiply
    201,876.77x = 302,815.61 × 189,545.73
  4. Step 4: Simplify right side
    201,876.77x = 57,397,405,852.85
  5. Step 5: Solve for x
    x = 57,397,405,852.85/201,876.77
  6. Step 6: Final answer
    x = 284,319.02

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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.