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Finding the Fourth Proportional to 258,744.37, 357,067.17 and 144,020.54

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Solution

The fourth proportional to 258,744.37, 357,067.17 and 144,020.54 is: 198,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,744.37 : 357,067.17 = 144,020.54 : x
  2. Step 2: Convert to fraction form
    258,744.37/357,067.17 = 144,020.54/x
  3. Step 3: Cross multiply
    258,744.37x = 357,067.17 × 144,020.54
  4. Step 4: Simplify right side
    258,744.37x = 51,425,006,639.67
  5. Step 5: Solve for x
    x = 51,425,006,639.67/258,744.37
  6. Step 6: Final answer
    x = 198,748.31

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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.