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Finding the Fourth Proportional to 188,016, 259,462.08 and 103,133.26

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Solution

The fourth proportional to 188,016, 259,462.08 and 103,133.26 is: 142,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,016 : 259,462.08 = 103,133.26 : x
  2. Step 2: Convert to fraction form
    188,016/259,462.08 = 103,133.26/x
  3. Step 3: Cross multiply
    188,016x = 259,462.08 × 103,133.26
  4. Step 4: Simplify right side
    188,016x = 26,759,170,156.78
  5. Step 5: Solve for x
    x = 26,759,170,156.78/188,016
  6. Step 6: Final answer
    x = 142,323.90

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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.