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Finding the Fourth Proportional to 218,862, 302,029.56 and 118,260

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Solution

The fourth proportional to 218,862, 302,029.56 and 118,260 is: 163,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,862 : 302,029.56 = 118,260 : x
  2. Step 2: Convert to fraction form
    218,862/302,029.56 = 118,260/x
  3. Step 3: Cross multiply
    218,862x = 302,029.56 × 118,260
  4. Step 4: Simplify right side
    218,862x = 35,718,015,765.60
  5. Step 5: Solve for x
    x = 35,718,015,765.60/218,862
  6. Step 6: Final answer
    x = 163,198.80

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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.