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Finding the Fourth Proportional to 188,548.23, 260,189.91 and 103,664.64

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Solution

The fourth proportional to 188,548.23, 260,189.91 and 103,664.64 is: 143,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,548.23 : 260,189.91 = 103,664.64 : x
  2. Step 2: Convert to fraction form
    188,548.23/260,189.91 = 103,664.64/x
  3. Step 3: Cross multiply
    188,548.23x = 260,189.91 × 103,664.64
  4. Step 4: Simplify right side
    188,548.23x = 26,972,493,351.78
  5. Step 5: Solve for x
    x = 26,972,493,351.78/188,548.23
  6. Step 6: Final answer
    x = 143,053.55

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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.