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Finding the Fourth Proportional to 164,128.78, 246,193.17 and 39,469.78

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Solution

The fourth proportional to 164,128.78, 246,193.17 and 39,469.78 is: 59,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,128.78 : 246,193.17 = 39,469.78 : x
  2. Step 2: Convert to fraction form
    164,128.78/246,193.17 = 39,469.78/x
  3. Step 3: Cross multiply
    164,128.78x = 246,193.17 × 39,469.78
  4. Step 4: Simplify right side
    164,128.78x = 9,717,190,639.15
  5. Step 5: Solve for x
    x = 9,717,190,639.15/164,128.78
  6. Step 6: Final answer
    x = 59,204.67

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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.