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Finding the Fourth Proportional to 218,772, 301,905.63 and 118,170

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Solution

The fourth proportional to 218,772, 301,905.63 and 118,170 is: 163,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,772 : 301,905.63 = 118,170 : x
  2. Step 2: Convert to fraction form
    218,772/301,905.63 = 118,170/x
  3. Step 3: Cross multiply
    218,772x = 301,905.63 × 118,170
  4. Step 4: Simplify right side
    218,772x = 35,676,188,297.10
  5. Step 5: Solve for x
    x = 35,676,188,297.10/218,772
  6. Step 6: Final answer
    x = 163,074.75

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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.