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Finding the Fourth Proportional to 258,757.44, 357,090.88 and 144,042

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Solution

The fourth proportional to 258,757.44, 357,090.88 and 144,042 is: 198,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,757.44 : 357,090.88 = 144,042 : x
  2. Step 2: Convert to fraction form
    258,757.44/357,090.88 = 144,042/x
  3. Step 3: Cross multiply
    258,757.44x = 357,090.88 × 144,042
  4. Step 4: Simplify right side
    258,757.44x = 51,436,084,536.96
  5. Step 5: Solve for x
    x = 51,436,084,536.96/258,757.44
  6. Step 6: Final answer
    x = 198,781.08

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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.