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Finding the Fourth Proportional to 135,999.20, 203,858.40 and 61,155.20

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Solution

The fourth proportional to 135,999.20, 203,858.40 and 61,155.20 is: 91,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,999.20 : 203,858.40 = 61,155.20 : x
  2. Step 2: Convert to fraction form
    135,999.20/203,858.40 = 61,155.20/x
  3. Step 3: Cross multiply
    135,999.20x = 203,858.40 × 61,155.20
  4. Step 4: Simplify right side
    135,999.20x = 12,467,001,223.68
  5. Step 5: Solve for x
    x = 12,467,001,223.68/135,999.20
  6. Step 6: Final answer
    x = 91,669.67

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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.