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Finding the Fourth Proportional to 188,257.12, 282,484.24 and 75,965.28

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Solution

The fourth proportional to 188,257.12, 282,484.24 and 75,965.28 is: 113,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,257.12 : 282,484.24 = 75,965.28 : x
  2. Step 2: Convert to fraction form
    188,257.12/282,484.24 = 75,965.28/x
  3. Step 3: Cross multiply
    188,257.12x = 282,484.24 × 75,965.28
  4. Step 4: Simplify right side
    188,257.12x = 21,458,994,387.19
  5. Step 5: Solve for x
    x = 21,458,994,387.19/188,257.12
  6. Step 6: Final answer
    x = 113,987.69

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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.