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Finding the Fourth Proportional to 128,039.40, 192,059.10 and 82,938.60

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Solution

The fourth proportional to 128,039.40, 192,059.10 and 82,938.60 is: 124,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,039.40 : 192,059.10 = 82,938.60 : x
  2. Step 2: Convert to fraction form
    128,039.40/192,059.10 = 82,938.60/x
  3. Step 3: Cross multiply
    128,039.40x = 192,059.10 × 82,938.60
  4. Step 4: Simplify right side
    128,039.40x = 15,929,112,871.26
  5. Step 5: Solve for x
    x = 15,929,112,871.26/128,039.40
  6. Step 6: Final answer
    x = 124,407.90

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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.