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Finding the Fourth Proportional to 188,132.81, 259,605.96 and 111,638.64

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Solution

The fourth proportional to 188,132.81, 259,605.96 and 111,638.64 is: 154,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,132.81 : 259,605.96 = 111,638.64 : x
  2. Step 2: Convert to fraction form
    188,132.81/259,605.96 = 111,638.64/x
  3. Step 3: Cross multiply
    188,132.81x = 259,605.96 × 111,638.64
  4. Step 4: Simplify right side
    188,132.81x = 28,982,056,310.29
  5. Step 5: Solve for x
    x = 28,982,056,310.29/188,132.81
  6. Step 6: Final answer
    x = 154,051.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.