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Finding the Fourth Proportional to 188,650, 260,337.16 and 109,162

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Solution

The fourth proportional to 188,650, 260,337.16 and 109,162 is: 150,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,650 : 260,337.16 = 109,162 : x
  2. Step 2: Convert to fraction form
    188,650/260,337.16 = 109,162/x
  3. Step 3: Cross multiply
    188,650x = 260,337.16 × 109,162
  4. Step 4: Simplify right side
    188,650x = 28,418,925,059.92
  5. Step 5: Solve for x
    x = 28,418,925,059.92/188,650
  6. Step 6: Final answer
    x = 150,643.65

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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.