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Finding the Fourth Proportional to 135,765.56, 203,662.20 and 47,018.90

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Solution

The fourth proportional to 135,765.56, 203,662.20 and 47,018.90 is: 70,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,765.56 : 203,662.20 = 47,018.90 : x
  2. Step 2: Convert to fraction form
    135,765.56/203,662.20 = 47,018.90/x
  3. Step 3: Cross multiply
    135,765.56x = 203,662.20 × 47,018.90
  4. Step 4: Simplify right side
    135,765.56x = 9,575,972,615.58
  5. Step 5: Solve for x
    x = 9,575,972,615.58/135,765.56
  6. Step 6: Final answer
    x = 70,533.15

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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.