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Finding the Fourth Proportional to 258,873.83, 388,152.18 and 100,917.75

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Solution

The fourth proportional to 258,873.83, 388,152.18 and 100,917.75 is: 151,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,873.83 : 388,152.18 = 100,917.75 : x
  2. Step 2: Convert to fraction form
    258,873.83/388,152.18 = 100,917.75/x
  3. Step 3: Cross multiply
    258,873.83x = 388,152.18 × 100,917.75
  4. Step 4: Simplify right side
    258,873.83x = 39,171,444,663.20
  5. Step 5: Solve for x
    x = 39,171,444,663.20/258,873.83
  6. Step 6: Final answer
    x = 151,314.81

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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.