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Finding the Fourth Proportional to 135,742.80, 203,556.60 and 65,643.60

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Solution

The fourth proportional to 135,742.80, 203,556.60 and 65,643.60 is: 98,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,742.80 : 203,556.60 = 65,643.60 : x
  2. Step 2: Convert to fraction form
    135,742.80/203,556.60 = 65,643.60/x
  3. Step 3: Cross multiply
    135,742.80x = 203,556.60 × 65,643.60
  4. Step 4: Simplify right side
    135,742.80x = 13,362,188,027.76
  5. Step 5: Solve for x
    x = 13,362,188,027.76/135,742.80
  6. Step 6: Final answer
    x = 98,437.55

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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.