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Finding the Fourth Proportional to 218,702, 301,808.76 and 118,100

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Solution

The fourth proportional to 218,702, 301,808.76 and 118,100 is: 162,978

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,702 : 301,808.76 = 118,100 : x
  2. Step 2: Convert to fraction form
    218,702/301,808.76 = 118,100/x
  3. Step 3: Cross multiply
    218,702x = 301,808.76 × 118,100
  4. Step 4: Simplify right side
    218,702x = 35,643,614,556
  5. Step 5: Solve for x
    x = 35,643,614,556/218,702
  6. Step 6: Final answer
    x = 162,978

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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.