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Finding the Fourth Proportional to 218,722, 301,836.42 and 118,120

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Solution

The fourth proportional to 218,722, 301,836.42 and 118,120 is: 163,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,722 : 301,836.42 = 118,120 : x
  2. Step 2: Convert to fraction form
    218,722/301,836.42 = 118,120/x
  3. Step 3: Cross multiply
    218,722x = 301,836.42 × 118,120
  4. Step 4: Simplify right side
    218,722x = 35,652,917,930.40
  5. Step 5: Solve for x
    x = 35,652,917,930.40/218,722
  6. Step 6: Final answer
    x = 163,005.63

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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.