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Finding the Fourth Proportional to 200,362.78, 276,496.99 and 109,717.08

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Solution

The fourth proportional to 200,362.78, 276,496.99 and 109,717.08 is: 151,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,362.78 : 276,496.99 = 109,717.08 : x
  2. Step 2: Convert to fraction form
    200,362.78/276,496.99 = 109,717.08/x
  3. Step 3: Cross multiply
    200,362.78x = 276,496.99 × 109,717.08
  4. Step 4: Simplify right side
    200,362.78x = 30,336,442,371.59
  5. Step 5: Solve for x
    x = 30,336,442,371.59/200,362.78
  6. Step 6: Final answer
    x = 151,407.57

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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.