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Finding the Fourth Proportional to 180,021.90, 269,779.29 and 137,738.28

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Solution

The fourth proportional to 180,021.90, 269,779.29 and 137,738.28 is: 206,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,021.90 : 269,779.29 = 137,738.28 : x
  2. Step 2: Convert to fraction form
    180,021.90/269,779.29 = 137,738.28/x
  3. Step 3: Cross multiply
    180,021.90x = 269,779.29 × 137,738.28
  4. Step 4: Simplify right side
    180,021.90x = 37,158,935,384.22
  5. Step 5: Solve for x
    x = 37,158,935,384.22/180,021.90
  6. Step 6: Final answer
    x = 206,413.42

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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.