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Finding the Fourth Proportional to 181,638, 250,661.52 and 102,150

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Solution

The fourth proportional to 181,638, 250,661.52 and 102,150 is: 140,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,638 : 250,661.52 = 102,150 : x
  2. Step 2: Convert to fraction form
    181,638/250,661.52 = 102,150/x
  3. Step 3: Cross multiply
    181,638x = 250,661.52 × 102,150
  4. Step 4: Simplify right side
    181,638x = 25,605,074,268
  5. Step 5: Solve for x
    x = 25,605,074,268/181,638
  6. Step 6: Final answer
    x = 140,967.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.