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Finding the Fourth Proportional to 111,405.20, 166,978.20 and 44,812.40

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Solution

The fourth proportional to 111,405.20, 166,978.20 and 44,812.40 is: 67,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,405.20 : 166,978.20 = 44,812.40 : x
  2. Step 2: Convert to fraction form
    111,405.20/166,978.20 = 44,812.40/x
  3. Step 3: Cross multiply
    111,405.20x = 166,978.20 × 44,812.40
  4. Step 4: Simplify right side
    111,405.20x = 7,482,693,889.68
  5. Step 5: Solve for x
    x = 7,482,693,889.68/111,405.20
  6. Step 6: Final answer
    x = 67,166.47

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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.