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Finding the Fourth Proportional to 200,895.26, 277,422.18 and 129,398.18

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Solution

The fourth proportional to 200,895.26, 277,422.18 and 129,398.18 is: 178,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,895.26 : 277,422.18 = 129,398.18 : x
  2. Step 2: Convert to fraction form
    200,895.26/277,422.18 = 129,398.18/x
  3. Step 3: Cross multiply
    200,895.26x = 277,422.18 × 129,398.18
  4. Step 4: Simplify right side
    200,895.26x = 35,897,925,183.63
  5. Step 5: Solve for x
    x = 35,897,925,183.63/200,895.26
  6. Step 6: Final answer
    x = 178,689.76

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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.