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Finding the Fourth Proportional to 143,782.33, 198,420.40 and 83,388.78

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Solution

The fourth proportional to 143,782.33, 198,420.40 and 83,388.78 is: 115,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,782.33 : 198,420.40 = 83,388.78 : x
  2. Step 2: Convert to fraction form
    143,782.33/198,420.40 = 83,388.78/x
  3. Step 3: Cross multiply
    143,782.33x = 198,420.40 × 83,388.78
  4. Step 4: Simplify right side
    143,782.33x = 16,546,035,083.11
  5. Step 5: Solve for x
    x = 16,546,035,083.11/143,782.33
  6. Step 6: Final answer
    x = 115,076.97

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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.