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Finding the Fourth Proportional to 258,203.25, 356,353.90 and 145,026

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Solution

The fourth proportional to 258,203.25, 356,353.90 and 145,026 is: 200,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,203.25 : 356,353.90 = 145,026 : x
  2. Step 2: Convert to fraction form
    258,203.25/356,353.90 = 145,026/x
  3. Step 3: Cross multiply
    258,203.25x = 356,353.90 × 145,026
  4. Step 4: Simplify right side
    258,203.25x = 51,680,580,338.84
  5. Step 5: Solve for x
    x = 51,680,580,338.84/258,203.25
  6. Step 6: Final answer
    x = 200,154.65

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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.