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Finding the Fourth Proportional to 148,647.71, 205,133.22 and 80,664.20

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Solution

The fourth proportional to 148,647.71, 205,133.22 and 80,664.20 is: 111,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,647.71 : 205,133.22 = 80,664.20 : x
  2. Step 2: Convert to fraction form
    148,647.71/205,133.22 = 80,664.20/x
  3. Step 3: Cross multiply
    148,647.71x = 205,133.22 × 80,664.20
  4. Step 4: Simplify right side
    148,647.71x = 16,546,907,084.72
  5. Step 5: Solve for x
    x = 16,546,907,084.72/148,647.71
  6. Step 6: Final answer
    x = 111,316.26

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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.