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Finding the Fourth Proportional to 188,648.20, 282,874.90 and 55,511.15

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Solution

The fourth proportional to 188,648.20, 282,874.90 and 55,511.15 is: 83,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,648.20 : 282,874.90 = 55,511.15 : x
  2. Step 2: Convert to fraction form
    188,648.20/282,874.90 = 55,511.15/x
  3. Step 3: Cross multiply
    188,648.20x = 282,874.90 × 55,511.15
  4. Step 4: Simplify right side
    188,648.20x = 15,702,711,005.14
  5. Step 5: Solve for x
    x = 15,702,711,005.14/188,648.20
  6. Step 6: Final answer
    x = 83,238.06

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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.