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Finding the Fourth Proportional to 121,370, 182,085.72 and 33,818

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Solution

The fourth proportional to 121,370, 182,085.72 and 33,818 is: 50,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,370 : 182,085.72 = 33,818 : x
  2. Step 2: Convert to fraction form
    121,370/182,085.72 = 33,818/x
  3. Step 3: Cross multiply
    121,370x = 182,085.72 × 33,818
  4. Step 4: Simplify right side
    121,370x = 6,157,774,878.96
  5. Step 5: Solve for x
    x = 6,157,774,878.96/121,370
  6. Step 6: Final answer
    x = 50,735.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.