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Finding the Fourth Proportional to 122,970.36, 184,481.45 and 39,857.88

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Solution

The fourth proportional to 122,970.36, 184,481.45 and 39,857.88 is: 59,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,970.36 : 184,481.45 = 39,857.88 : x
  2. Step 2: Convert to fraction form
    122,970.36/184,481.45 = 39,857.88/x
  3. Step 3: Cross multiply
    122,970.36x = 184,481.45 × 39,857.88
  4. Step 4: Simplify right side
    122,970.36x = 7,353,039,496.33
  5. Step 5: Solve for x
    x = 7,353,039,496.33/122,970.36
  6. Step 6: Final answer
    x = 59,795.22

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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.