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Finding the Fourth Proportional to 188,300.68, 259,725.94 and 120,287.46

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Solution

The fourth proportional to 188,300.68, 259,725.94 and 120,287.46 is: 165,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,300.68 : 259,725.94 = 120,287.46 : x
  2. Step 2: Convert to fraction form
    188,300.68/259,725.94 = 120,287.46/x
  3. Step 3: Cross multiply
    188,300.68x = 259,725.94 × 120,287.46
  4. Step 4: Simplify right side
    188,300.68x = 31,241,774,968.58
  5. Step 5: Solve for x
    x = 31,241,774,968.58/188,300.68
  6. Step 6: Final answer
    x = 165,914.29

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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.