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Finding the Fourth Proportional to 258,763.52, 357,090 and 145,586

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Solution

The fourth proportional to 258,763.52, 357,090 and 145,586 is: 200,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,763.52 : 357,090 = 145,586 : x
  2. Step 2: Convert to fraction form
    258,763.52/357,090 = 145,586/x
  3. Step 3: Cross multiply
    258,763.52x = 357,090 × 145,586
  4. Step 4: Simplify right side
    258,763.52x = 51,987,304,740
  5. Step 5: Solve for x
    x = 51,987,304,740/258,763.52
  6. Step 6: Final answer
    x = 200,906.62

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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.