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Finding the Fourth Proportional to 188,090.64, 259,554.78 and 103,201.02

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Solution

The fourth proportional to 188,090.64, 259,554.78 and 103,201.02 is: 142,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,090.64 : 259,554.78 = 103,201.02 : x
  2. Step 2: Convert to fraction form
    188,090.64/259,554.78 = 103,201.02/x
  3. Step 3: Cross multiply
    188,090.64x = 259,554.78 × 103,201.02
  4. Step 4: Simplify right side
    188,090.64x = 26,786,318,041.88
  5. Step 5: Solve for x
    x = 26,786,318,041.88/188,090.64
  6. Step 6: Final answer
    x = 142,411.75

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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.