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Finding the Fourth Proportional to 148,969.92, 205,580.16 and 80,986.80

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Solution

The fourth proportional to 148,969.92, 205,580.16 and 80,986.80 is: 111,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,969.92 : 205,580.16 = 80,986.80 : x
  2. Step 2: Convert to fraction form
    148,969.92/205,580.16 = 80,986.80/x
  3. Step 3: Cross multiply
    148,969.92x = 205,580.16 × 80,986.80
  4. Step 4: Simplify right side
    148,969.92x = 16,649,279,301.89
  5. Step 5: Solve for x
    x = 16,649,279,301.89/148,969.92
  6. Step 6: Final answer
    x = 111,762.69

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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.