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Finding the Fourth Proportional to 188,311.32, 282,441.84 and 69,966.60

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Solution

The fourth proportional to 188,311.32, 282,441.84 and 69,966.60 is: 104,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,311.32 : 282,441.84 = 69,966.60 : x
  2. Step 2: Convert to fraction form
    188,311.32/282,441.84 = 69,966.60/x
  3. Step 3: Cross multiply
    188,311.32x = 282,441.84 × 69,966.60
  4. Step 4: Simplify right side
    188,311.32x = 19,761,495,242.54
  5. Step 5: Solve for x
    x = 19,761,495,242.54/188,311.32
  6. Step 6: Final answer
    x = 104,940.56

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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.