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Finding the Fourth Proportional to 188,388, 259,916.79 and 115,714.65

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Solution

The fourth proportional to 188,388, 259,916.79 and 115,714.65 is: 159,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,388 : 259,916.79 = 115,714.65 : x
  2. Step 2: Convert to fraction form
    188,388/259,916.79 = 115,714.65/x
  3. Step 3: Cross multiply
    188,388x = 259,916.79 × 115,714.65
  4. Step 4: Simplify right side
    188,388x = 30,076,180,383.97
  5. Step 5: Solve for x
    x = 30,076,180,383.97/188,388
  6. Step 6: Final answer
    x = 159,650.19

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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.