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Finding the Fourth Proportional to 128,409.80, 192,629.10 and 39,662.60

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Solution

The fourth proportional to 128,409.80, 192,629.10 and 39,662.60 is: 59,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,409.80 : 192,629.10 = 39,662.60 : x
  2. Step 2: Convert to fraction form
    128,409.80/192,629.10 = 39,662.60/x
  3. Step 3: Cross multiply
    128,409.80x = 192,629.10 × 39,662.60
  4. Step 4: Simplify right side
    128,409.80x = 7,640,170,941.66
  5. Step 5: Solve for x
    x = 7,640,170,941.66/128,409.80
  6. Step 6: Final answer
    x = 59,498.35

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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.