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Finding the Fourth Proportional to 188,102.56, 259,580.80 and 103,221.04

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Solution

The fourth proportional to 188,102.56, 259,580.80 and 103,221.04 is: 142,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,102.56 : 259,580.80 = 103,221.04 : x
  2. Step 2: Convert to fraction form
    188,102.56/259,580.80 = 103,221.04/x
  3. Step 3: Cross multiply
    188,102.56x = 259,580.80 × 103,221.04
  4. Step 4: Simplify right side
    188,102.56x = 26,794,200,140.03
  5. Step 5: Solve for x
    x = 26,794,200,140.03/188,102.56
  6. Step 6: Final answer
    x = 142,444.63

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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.