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Finding the Fourth Proportional to 200,535.78, 276,865.21 and 129,040.05

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Solution

The fourth proportional to 200,535.78, 276,865.21 and 129,040.05 is: 178,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,535.78 : 276,865.21 = 129,040.05 : x
  2. Step 2: Convert to fraction form
    200,535.78/276,865.21 = 129,040.05/x
  3. Step 3: Cross multiply
    200,535.78x = 276,865.21 × 129,040.05
  4. Step 4: Simplify right side
    200,535.78x = 35,726,700,541.66
  5. Step 5: Solve for x
    x = 35,726,700,541.66/200,535.78
  6. Step 6: Final answer
    x = 178,156.24

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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.