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Finding the Fourth Proportional to 218,770, 301,902.72 and 118,168

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Solution

The fourth proportional to 218,770, 301,902.72 and 118,168 is: 163,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,770 : 301,902.72 = 118,168 : x
  2. Step 2: Convert to fraction form
    218,770/301,902.72 = 118,168/x
  3. Step 3: Cross multiply
    218,770x = 301,902.72 × 118,168
  4. Step 4: Simplify right side
    218,770x = 35,675,240,616.96
  5. Step 5: Solve for x
    x = 35,675,240,616.96/218,770
  6. Step 6: Final answer
    x = 163,071.90

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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.