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Finding the Fourth Proportional to 200,695.37, 276,968.36 and 120,107.57

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Solution

The fourth proportional to 200,695.37, 276,968.36 and 120,107.57 is: 165,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,695.37 : 276,968.36 = 120,107.57 : x
  2. Step 2: Convert to fraction form
    200,695.37/276,968.36 = 120,107.57/x
  3. Step 3: Cross multiply
    200,695.37x = 276,968.36 × 120,107.57
  4. Step 4: Simplify right side
    200,695.37x = 33,265,995,601.91
  5. Step 5: Solve for x
    x = 33,265,995,601.91/200,695.37
  6. Step 6: Final answer
    x = 165,753.68

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1.5x scale

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.