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Finding the Fourth Proportional to 181,728.94, 250,784.07 and 100,054.61

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Solution

The fourth proportional to 181,728.94, 250,784.07 and 100,054.61 is: 138,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,728.94 : 250,784.07 = 100,054.61 : x
  2. Step 2: Convert to fraction form
    181,728.94/250,784.07 = 100,054.61/x
  3. Step 3: Cross multiply
    181,728.94x = 250,784.07 × 100,054.61
  4. Step 4: Simplify right side
    181,728.94x = 25,092,102,318.06
  5. Step 5: Solve for x
    x = 25,092,102,318.06/181,728.94
  6. Step 6: Final answer
    x = 138,074.34

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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.