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Finding the Fourth Proportional to 102,908.80, 154,060.80 and 76,729.60

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Solution

The fourth proportional to 102,908.80, 154,060.80 and 76,729.60 is: 114,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,908.80 : 154,060.80 = 76,729.60 : x
  2. Step 2: Convert to fraction form
    102,908.80/154,060.80 = 76,729.60/x
  3. Step 3: Cross multiply
    102,908.80x = 154,060.80 × 76,729.60
  4. Step 4: Simplify right side
    102,908.80x = 11,821,023,559.68
  5. Step 5: Solve for x
    x = 11,821,023,559.68/102,908.80
  6. Step 6: Final answer
    x = 114,868.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.