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Finding the Fourth Proportional to 270,116.15, 405,428.47 and 137,091.88

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Solution

The fourth proportional to 270,116.15, 405,428.47 and 137,091.88 is: 205,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,116.15 : 405,428.47 = 137,091.88 : x
  2. Step 2: Convert to fraction form
    270,116.15/405,428.47 = 137,091.88/x
  3. Step 3: Cross multiply
    270,116.15x = 405,428.47 × 137,091.88
  4. Step 4: Simplify right side
    270,116.15x = 55,580,951,157.82
  5. Step 5: Solve for x
    x = 55,580,951,157.82/270,116.15
  6. Step 6: Final answer
    x = 205,766.86

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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.