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Finding the Fourth Proportional to 254,835.22, 382,243.11 and 77,335.06

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Solution

The fourth proportional to 254,835.22, 382,243.11 and 77,335.06 is: 115,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,835.22 : 382,243.11 = 77,335.06 : x
  2. Step 2: Convert to fraction form
    254,835.22/382,243.11 = 77,335.06/x
  3. Step 3: Cross multiply
    254,835.22x = 382,243.11 × 77,335.06
  4. Step 4: Simplify right side
    254,835.22x = 29,560,793,846.44
  5. Step 5: Solve for x
    x = 29,560,793,846.44/254,835.22
  6. Step 6: Final answer
    x = 115,999.64

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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.