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Finding the Fourth Proportional to 258,632.82, 388,005.08 and 78,732.32

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Solution

The fourth proportional to 258,632.82, 388,005.08 and 78,732.32 is: 118,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,632.82 : 388,005.08 = 78,732.32 : x
  2. Step 2: Convert to fraction form
    258,632.82/388,005.08 = 78,732.32/x
  3. Step 3: Cross multiply
    258,632.82x = 388,005.08 × 78,732.32
  4. Step 4: Simplify right side
    258,632.82x = 30,548,540,120.19
  5. Step 5: Solve for x
    x = 30,548,540,120.19/258,632.82
  6. Step 6: Final answer
    x = 118,115.48

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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.