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Finding the Fourth Proportional to 188,290.60, 259,778.42 and 111,833.08

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Solution

The fourth proportional to 188,290.60, 259,778.42 and 111,833.08 is: 154,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,290.60 : 259,778.42 = 111,833.08 : x
  2. Step 2: Convert to fraction form
    188,290.60/259,778.42 = 111,833.08/x
  3. Step 3: Cross multiply
    188,290.60x = 259,778.42 × 111,833.08
  4. Step 4: Simplify right side
    188,290.60x = 29,051,820,826.13
  5. Step 5: Solve for x
    x = 29,051,820,826.13/188,290.60
  6. Step 6: Final answer
    x = 154,292.47

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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.