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Finding the Fourth Proportional to 188,284.68, 282,465.90 and 55,169.28

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Solution

The fourth proportional to 188,284.68, 282,465.90 and 55,169.28 is: 82,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,284.68 : 282,465.90 = 55,169.28 : x
  2. Step 2: Convert to fraction form
    188,284.68/282,465.90 = 55,169.28/x
  3. Step 3: Cross multiply
    188,284.68x = 282,465.90 × 55,169.28
  4. Step 4: Simplify right side
    188,284.68x = 15,583,440,327.55
  5. Step 5: Solve for x
    x = 15,583,440,327.55/188,284.68
  6. Step 6: Final answer
    x = 82,765.31

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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.