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Finding the Fourth Proportional to 281,391.26, 421,959.30 and 121,391.72

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Solution

The fourth proportional to 281,391.26, 421,959.30 and 121,391.72 is: 182,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,391.26 : 421,959.30 = 121,391.72 : x
  2. Step 2: Convert to fraction form
    281,391.26/421,959.30 = 121,391.72/x
  3. Step 3: Cross multiply
    281,391.26x = 421,959.30 × 121,391.72
  4. Step 4: Simplify right side
    281,391.26x = 51,222,365,197.00
  5. Step 5: Solve for x
    x = 51,222,365,197.00/281,391.26
  6. Step 6: Final answer
    x = 182,032.54

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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.