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Finding the Fourth Proportional to 281,640, 422,460 and 94,651.50

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Solution

The fourth proportional to 281,640, 422,460 and 94,651.50 is: 141,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,640 : 422,460 = 94,651.50 : x
  2. Step 2: Convert to fraction form
    281,640/422,460 = 94,651.50/x
  3. Step 3: Cross multiply
    281,640x = 422,460 × 94,651.50
  4. Step 4: Simplify right side
    281,640x = 39,986,472,690
  5. Step 5: Solve for x
    x = 39,986,472,690/281,640
  6. Step 6: Final answer
    x = 141,977.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.