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Finding the Fourth Proportional to 102,907.80, 154,059.30 and 76,728.60

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Solution

The fourth proportional to 102,907.80, 154,059.30 and 76,728.60 is: 114,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,907.80 : 154,059.30 = 76,728.60 : x
  2. Step 2: Convert to fraction form
    102,907.80/154,059.30 = 76,728.60/x
  3. Step 3: Cross multiply
    102,907.80x = 154,059.30 × 76,728.60
  4. Step 4: Simplify right side
    102,907.80x = 11,820,754,405.98
  5. Step 5: Solve for x
    x = 11,820,754,405.98/102,907.80
  6. Step 6: Final answer
    x = 114,867.43

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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.