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Finding the Fourth Proportional to 188,352, 259,948.80 and 108,864

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Solution

The fourth proportional to 188,352, 259,948.80 and 108,864 is: 150,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,352 : 259,948.80 = 108,864 : x
  2. Step 2: Convert to fraction form
    188,352/259,948.80 = 108,864/x
  3. Step 3: Cross multiply
    188,352x = 259,948.80 × 108,864
  4. Step 4: Simplify right side
    188,352x = 28,299,066,163.20
  5. Step 5: Solve for x
    x = 28,299,066,163.20/188,352
  6. Step 6: Final answer
    x = 150,245.64

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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.