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Finding the Fourth Proportional to 188,441.36, 282,658 and 55,318.64

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Solution

The fourth proportional to 188,441.36, 282,658 and 55,318.64 is: 82,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,441.36 : 282,658 = 55,318.64 : x
  2. Step 2: Convert to fraction form
    188,441.36/282,658 = 55,318.64/x
  3. Step 3: Cross multiply
    188,441.36x = 282,658 × 55,318.64
  4. Step 4: Simplify right side
    188,441.36x = 15,636,256,145.12
  5. Step 5: Solve for x
    x = 15,636,256,145.12/188,441.36
  6. Step 6: Final answer
    x = 82,976.77

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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.