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Finding the Fourth Proportional to 200,397.80, 276,552.09 and 109,752.12

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Solution

The fourth proportional to 200,397.80, 276,552.09 and 109,752.12 is: 151,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,397.80 : 276,552.09 = 109,752.12 : x
  2. Step 2: Convert to fraction form
    200,397.80/276,552.09 = 109,752.12/x
  3. Step 3: Cross multiply
    200,397.80x = 276,552.09 × 109,752.12
  4. Step 4: Simplify right side
    200,397.80x = 30,352,178,167.93
  5. Step 5: Solve for x
    x = 30,352,178,167.93/200,397.80
  6. Step 6: Final answer
    x = 151,459.64

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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.