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Finding the Fourth Proportional to 259,969.80, 389,954.70 and 127,109.55

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Solution

The fourth proportional to 259,969.80, 389,954.70 and 127,109.55 is: 190,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,969.80 : 389,954.70 = 127,109.55 : x
  2. Step 2: Convert to fraction form
    259,969.80/389,954.70 = 127,109.55/x
  3. Step 3: Cross multiply
    259,969.80x = 389,954.70 × 127,109.55
  4. Step 4: Simplify right side
    259,969.80x = 49,566,966,437.39
  5. Step 5: Solve for x
    x = 49,566,966,437.39/259,969.80
  6. Step 6: Final answer
    x = 190,664.33

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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.