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Finding the Fourth Proportional to 258,717, 357,029.37 and 145,539.75

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Solution

The fourth proportional to 258,717, 357,029.37 and 145,539.75 is: 200,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,717 : 357,029.37 = 145,539.75 : x
  2. Step 2: Convert to fraction form
    258,717/357,029.37 = 145,539.75/x
  3. Step 3: Cross multiply
    258,717x = 357,029.37 × 145,539.75
  4. Step 4: Simplify right side
    258,717x = 51,961,965,252.46
  5. Step 5: Solve for x
    x = 51,961,965,252.46/258,717
  6. Step 6: Final answer
    x = 200,844.80

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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.