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Finding the Fourth Proportional to 188,235.96, 259,769.34 and 103,352.28

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Solution

The fourth proportional to 188,235.96, 259,769.34 and 103,352.28 is: 142,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,235.96 : 259,769.34 = 103,352.28 : x
  2. Step 2: Convert to fraction form
    188,235.96/259,769.34 = 103,352.28/x
  3. Step 3: Cross multiply
    188,235.96x = 259,769.34 × 103,352.28
  4. Step 4: Simplify right side
    188,235.96x = 26,847,753,563.10
  5. Step 5: Solve for x
    x = 26,847,753,563.10/188,235.96
  6. Step 6: Final answer
    x = 142,628.19

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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.