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Finding the Fourth Proportional to 188,790.08, 260,488.48 and 109,256

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Solution

The fourth proportional to 188,790.08, 260,488.48 and 109,256 is: 150,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,790.08 : 260,488.48 = 109,256 : x
  2. Step 2: Convert to fraction form
    188,790.08/260,488.48 = 109,256/x
  3. Step 3: Cross multiply
    188,790.08x = 260,488.48 × 109,256
  4. Step 4: Simplify right side
    188,790.08x = 28,459,929,370.88
  5. Step 5: Solve for x
    x = 28,459,929,370.88/188,790.08
  6. Step 6: Final answer
    x = 150,749.07

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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.