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Finding the Fourth Proportional to 200,000.54, 276,000.99 and 109,356.91

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Solution

The fourth proportional to 200,000.54, 276,000.99 and 109,356.91 is: 150,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,000.54 : 276,000.99 = 109,356.91 : x
  2. Step 2: Convert to fraction form
    200,000.54/276,000.99 = 109,356.91/x
  3. Step 3: Cross multiply
    200,000.54x = 276,000.99 × 109,356.91
  4. Step 4: Simplify right side
    200,000.54x = 30,182,616,022.20
  5. Step 5: Solve for x
    x = 30,182,616,022.20/200,000.54
  6. Step 6: Final answer
    x = 150,912.67

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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.