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Finding the Fourth Proportional to 203,230.96, 280,461.54 and 117,188.44

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Solution

The fourth proportional to 203,230.96, 280,461.54 and 117,188.44 is: 161,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,230.96 : 280,461.54 = 117,188.44 : x
  2. Step 2: Convert to fraction form
    203,230.96/280,461.54 = 117,188.44/x
  3. Step 3: Cross multiply
    203,230.96x = 280,461.54 × 117,188.44
  4. Step 4: Simplify right side
    203,230.96x = 32,866,850,352.60
  5. Step 5: Solve for x
    x = 32,866,850,352.60/203,230.96
  6. Step 6: Final answer
    x = 161,721.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.