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Finding the Fourth Proportional to 258,120, 387,194.58 and 91,908

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Solution

The fourth proportional to 258,120, 387,194.58 and 91,908 is: 137,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,120 : 387,194.58 = 91,908 : x
  2. Step 2: Convert to fraction form
    258,120/387,194.58 = 91,908/x
  3. Step 3: Cross multiply
    258,120x = 387,194.58 × 91,908
  4. Step 4: Simplify right side
    258,120x = 35,586,279,458.64
  5. Step 5: Solve for x
    x = 35,586,279,458.64/258,120
  6. Step 6: Final answer
    x = 137,867.19

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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.