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Finding the Fourth Proportional to 258,761.52, 357,087.24 and 145,584

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Solution

The fourth proportional to 258,761.52, 357,087.24 and 145,584 is: 200,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,761.52 : 357,087.24 = 145,584 : x
  2. Step 2: Convert to fraction form
    258,761.52/357,087.24 = 145,584/x
  3. Step 3: Cross multiply
    258,761.52x = 357,087.24 × 145,584
  4. Step 4: Simplify right side
    258,761.52x = 51,986,188,748.16
  5. Step 5: Solve for x
    x = 51,986,188,748.16/258,761.52
  6. Step 6: Final answer
    x = 200,903.86

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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.