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Finding the Fourth Proportional to 188,364, 259,942.43 and 103,486.53

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Solution

The fourth proportional to 188,364, 259,942.43 and 103,486.53 is: 142,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,364 : 259,942.43 = 103,486.53 : x
  2. Step 2: Convert to fraction form
    188,364/259,942.43 = 103,486.53/x
  3. Step 3: Cross multiply
    188,364x = 259,942.43 × 103,486.53
  4. Step 4: Simplify right side
    188,364x = 26,900,539,563.04
  5. Step 5: Solve for x
    x = 26,900,539,563.04/188,364
  6. Step 6: Final answer
    x = 142,811.47

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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.