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Finding the Fourth Proportional to 258,583.05, 387,043.52 and 138,339.97

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Solution

The fourth proportional to 258,583.05, 387,043.52 and 138,339.97 is: 207,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,583.05 : 387,043.52 = 138,339.97 : x
  2. Step 2: Convert to fraction form
    258,583.05/387,043.52 = 138,339.97/x
  3. Step 3: Cross multiply
    258,583.05x = 387,043.52 × 138,339.97
  4. Step 4: Simplify right side
    258,583.05x = 53,543,587,286.19
  5. Step 5: Solve for x
    x = 53,543,587,286.19/258,583.05
  6. Step 6: Final answer
    x = 207,065.34

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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.