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Finding the Fourth Proportional to 189,891.90, 262,050.36 and 109,290

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Solution

The fourth proportional to 189,891.90, 262,050.36 and 109,290 is: 150,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,891.90 : 262,050.36 = 109,290 : x
  2. Step 2: Convert to fraction form
    189,891.90/262,050.36 = 109,290/x
  3. Step 3: Cross multiply
    189,891.90x = 262,050.36 × 109,290
  4. Step 4: Simplify right side
    189,891.90x = 28,639,483,844.40
  5. Step 5: Solve for x
    x = 28,639,483,844.40/189,891.90
  6. Step 6: Final answer
    x = 150,819.93

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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.