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Finding the Fourth Proportional to 259,872, 358,623.54 and 140,640

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Solution

The fourth proportional to 259,872, 358,623.54 and 140,640 is: 194,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,872 : 358,623.54 = 140,640 : x
  2. Step 2: Convert to fraction form
    259,872/358,623.54 = 140,640/x
  3. Step 3: Cross multiply
    259,872x = 358,623.54 × 140,640
  4. Step 4: Simplify right side
    259,872x = 50,436,814,665.60
  5. Step 5: Solve for x
    x = 50,436,814,665.60/259,872
  6. Step 6: Final answer
    x = 194,083.30

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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.