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Finding the Fourth Proportional to 217,009, 325,690.08 and 111,858.04

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Solution

The fourth proportional to 217,009, 325,690.08 and 111,858.04 is: 167,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,009 : 325,690.08 = 111,858.04 : x
  2. Step 2: Convert to fraction form
    217,009/325,690.08 = 111,858.04/x
  3. Step 3: Cross multiply
    217,009x = 325,690.08 × 111,858.04
  4. Step 4: Simplify right side
    217,009x = 36,431,053,996.24
  5. Step 5: Solve for x
    x = 36,431,053,996.24/217,009
  6. Step 6: Final answer
    x = 167,878.08

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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.