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Finding the Fourth Proportional to 135,741.60, 203,806.80 and 102,693.60

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Solution

The fourth proportional to 135,741.60, 203,806.80 and 102,693.60 is: 154,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,741.60 : 203,806.80 = 102,693.60 : x
  2. Step 2: Convert to fraction form
    135,741.60/203,806.80 = 102,693.60/x
  3. Step 3: Cross multiply
    135,741.60x = 203,806.80 × 102,693.60
  4. Step 4: Simplify right side
    135,741.60x = 20,929,653,996.48
  5. Step 5: Solve for x
    x = 20,929,653,996.48/135,741.60
  6. Step 6: Final answer
    x = 154,187.47

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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.