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Finding the Fourth Proportional to 200,409.90, 276,565.76 and 109,771.57

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Solution

The fourth proportional to 200,409.90, 276,565.76 and 109,771.57 is: 151,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,409.90 : 276,565.76 = 109,771.57 : x
  2. Step 2: Convert to fraction form
    200,409.90/276,565.76 = 109,771.57/x
  3. Step 3: Cross multiply
    200,409.90x = 276,565.76 × 109,771.57
  4. Step 4: Simplify right side
    200,409.90x = 30,359,057,891.94
  5. Step 5: Solve for x
    x = 30,359,057,891.94/200,409.90
  6. Step 6: Final answer
    x = 151,484.82

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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.