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Finding the Fourth Proportional to 188,648, 260,334.40 and 109,160

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Solution

The fourth proportional to 188,648, 260,334.40 and 109,160 is: 150,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,648 : 260,334.40 = 109,160 : x
  2. Step 2: Convert to fraction form
    188,648/260,334.40 = 109,160/x
  3. Step 3: Cross multiply
    188,648x = 260,334.40 × 109,160
  4. Step 4: Simplify right side
    188,648x = 28,418,103,104
  5. Step 5: Solve for x
    x = 28,418,103,104/188,648
  6. Step 6: Final answer
    x = 150,640.89

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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.