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Finding the Fourth Proportional to 143,808.54, 215,785.74 and 96,963

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Solution

The fourth proportional to 143,808.54, 215,785.74 and 96,963 is: 145,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,808.54 : 215,785.74 = 96,963 : x
  2. Step 2: Convert to fraction form
    143,808.54/215,785.74 = 96,963/x
  3. Step 3: Cross multiply
    143,808.54x = 215,785.74 × 96,963
  4. Step 4: Simplify right side
    143,808.54x = 20,923,232,707.62
  5. Step 5: Solve for x
    x = 20,923,232,707.62/143,808.54
  6. Step 6: Final answer
    x = 145,493.67

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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.