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Finding the Fourth Proportional to 111,500.80, 166,978.50 and 100,705.84

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Solution

The fourth proportional to 111,500.80, 166,978.50 and 100,705.84 is: 150,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,500.80 : 166,978.50 = 100,705.84 : x
  2. Step 2: Convert to fraction form
    111,500.80/166,978.50 = 100,705.84/x
  3. Step 3: Cross multiply
    111,500.80x = 166,978.50 × 100,705.84
  4. Step 4: Simplify right side
    111,500.80x = 16,815,710,104.44
  5. Step 5: Solve for x
    x = 16,815,710,104.44/111,500.80
  6. Step 6: Final answer
    x = 150,812.46

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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.