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Finding the Fourth Proportional to 200,600.12, 276,815.40 and 109,940.06

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Solution

The fourth proportional to 200,600.12, 276,815.40 and 109,940.06 is: 151,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,600.12 : 276,815.40 = 109,940.06 : x
  2. Step 2: Convert to fraction form
    200,600.12/276,815.40 = 109,940.06/x
  3. Step 3: Cross multiply
    200,600.12x = 276,815.40 × 109,940.06
  4. Step 4: Simplify right side
    200,600.12x = 30,433,101,684.92
  5. Step 5: Solve for x
    x = 30,433,101,684.92/200,600.12
  6. Step 6: Final answer
    x = 151,710.29

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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.