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Finding the Fourth Proportional to 188,389.49, 259,918.86 and 115,716.17

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Solution

The fourth proportional to 188,389.49, 259,918.86 and 115,716.17 is: 159,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,389.49 : 259,918.86 = 115,716.17 : x
  2. Step 2: Convert to fraction form
    188,389.49/259,918.86 = 115,716.17/x
  3. Step 3: Cross multiply
    188,389.49x = 259,918.86 × 115,716.17
  4. Step 4: Simplify right side
    188,389.49x = 30,076,814,989.97
  5. Step 5: Solve for x
    x = 30,076,814,989.97/188,389.49
  6. Step 6: Final answer
    x = 159,652.30

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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.