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Finding the Fourth Proportional to 203,886.80, 306,060.60 and 120,827.60

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Solution

The fourth proportional to 203,886.80, 306,060.60 and 120,827.60 is: 181,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,886.80 : 306,060.60 = 120,827.60 : x
  2. Step 2: Convert to fraction form
    203,886.80/306,060.60 = 120,827.60/x
  3. Step 3: Cross multiply
    203,886.80x = 306,060.60 × 120,827.60
  4. Step 4: Simplify right side
    203,886.80x = 36,980,567,752.56
  5. Step 5: Solve for x
    x = 36,980,567,752.56/203,886.80
  6. Step 6: Final answer
    x = 181,377.94

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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.