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Finding the Fourth Proportional to 128,419.80, 192,644.10 and 39,672.60

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Solution

The fourth proportional to 128,419.80, 192,644.10 and 39,672.60 is: 59,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,419.80 : 192,644.10 = 39,672.60 : x
  2. Step 2: Convert to fraction form
    128,419.80/192,644.10 = 39,672.60/x
  3. Step 3: Cross multiply
    128,419.80x = 192,644.10 × 39,672.60
  4. Step 4: Simplify right side
    128,419.80x = 7,642,692,321.66
  5. Step 5: Solve for x
    x = 7,642,692,321.66/128,419.80
  6. Step 6: Final answer
    x = 59,513.35

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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.