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Finding the Fourth Proportional to 258,838.64, 388,260.12 and 71,864.72

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Solution

The fourth proportional to 258,838.64, 388,260.12 and 71,864.72 is: 107,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,838.64 : 388,260.12 = 71,864.72 : x
  2. Step 2: Convert to fraction form
    258,838.64/388,260.12 = 71,864.72/x
  3. Step 3: Cross multiply
    258,838.64x = 388,260.12 × 71,864.72
  4. Step 4: Simplify right side
    258,838.64x = 27,902,204,810.97
  5. Step 5: Solve for x
    x = 27,902,204,810.97/258,838.64
  6. Step 6: Final answer
    x = 107,797.68

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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.