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Finding the Fourth Proportional to 258,129, 387,208.08 and 91,917

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Solution

The fourth proportional to 258,129, 387,208.08 and 91,917 is: 137,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,129 : 387,208.08 = 91,917 : x
  2. Step 2: Convert to fraction form
    258,129/387,208.08 = 91,917/x
  3. Step 3: Cross multiply
    258,129x = 387,208.08 × 91,917
  4. Step 4: Simplify right side
    258,129x = 35,591,005,089.36
  5. Step 5: Solve for x
    x = 35,591,005,089.36/258,129
  6. Step 6: Final answer
    x = 137,880.69

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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.