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Finding the Fourth Proportional to 258,945.76, 357,351.76 and 145,772.48

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Solution

The fourth proportional to 258,945.76, 357,351.76 and 145,772.48 is: 201,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,945.76 : 357,351.76 = 145,772.48 : x
  2. Step 2: Convert to fraction form
    258,945.76/357,351.76 = 145,772.48/x
  3. Step 3: Cross multiply
    258,945.76x = 357,351.76 × 145,772.48
  4. Step 4: Simplify right side
    258,945.76x = 52,092,052,287.56
  5. Step 5: Solve for x
    x = 52,092,052,287.56/258,945.76
  6. Step 6: Final answer
    x = 201,169.74

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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.