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Finding the Fourth Proportional to 258,107.96, 387,185.88 and 100,348.40

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Solution

The fourth proportional to 258,107.96, 387,185.88 and 100,348.40 is: 150,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,107.96 : 387,185.88 = 100,348.40 : x
  2. Step 2: Convert to fraction form
    258,107.96/387,185.88 = 100,348.40/x
  3. Step 3: Cross multiply
    258,107.96x = 387,185.88 × 100,348.40
  4. Step 4: Simplify right side
    258,107.96x = 38,853,483,560.59
  5. Step 5: Solve for x
    x = 38,853,483,560.59/258,107.96
  6. Step 6: Final answer
    x = 150,531.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.