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Finding the Fourth Proportional to 188,660.22, 260,275.62 and 120,661.50

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Solution

The fourth proportional to 188,660.22, 260,275.62 and 120,661.50 is: 166,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,660.22 : 260,275.62 = 120,661.50 : x
  2. Step 2: Convert to fraction form
    188,660.22/260,275.62 = 120,661.50/x
  3. Step 3: Cross multiply
    188,660.22x = 260,275.62 × 120,661.50
  4. Step 4: Simplify right side
    188,660.22x = 31,405,246,722.63
  5. Step 5: Solve for x
    x = 31,405,246,722.63/188,660.22
  6. Step 6: Final answer
    x = 166,464.59

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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.