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Finding the Fourth Proportional to 258,745.38, 357,068.55 and 144,021.54

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Solution

The fourth proportional to 258,745.38, 357,068.55 and 144,021.54 is: 198,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,745.38 : 357,068.55 = 144,021.54 : x
  2. Step 2: Convert to fraction form
    258,745.38/357,068.55 = 144,021.54/x
  3. Step 3: Cross multiply
    258,745.38x = 357,068.55 × 144,021.54
  4. Step 4: Simplify right side
    258,745.38x = 51,425,562,456.57
  5. Step 5: Solve for x
    x = 51,425,562,456.57/258,745.38
  6. Step 6: Final answer
    x = 198,749.68

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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.