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Finding the Fourth Proportional to 200,142, 276,197.04 and 109,499.04

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Solution

The fourth proportional to 200,142, 276,197.04 and 109,499.04 is: 151,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,142 : 276,197.04 = 109,499.04 : x
  2. Step 2: Convert to fraction form
    200,142/276,197.04 = 109,499.04/x
  3. Step 3: Cross multiply
    200,142x = 276,197.04 × 109,499.04
  4. Step 4: Simplify right side
    200,142x = 30,243,310,730.84
  5. Step 5: Solve for x
    x = 30,243,310,730.84/200,142
  6. Step 6: Final answer
    x = 151,109.27

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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.