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Finding the Fourth Proportional to 65,609.22, 98,413.02 and 21,234.99

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Solution

The fourth proportional to 65,609.22, 98,413.02 and 21,234.99 is: 31,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,609.22 : 98,413.02 = 21,234.99 : x
  2. Step 2: Convert to fraction form
    65,609.22/98,413.02 = 21,234.99/x
  3. Step 3: Cross multiply
    65,609.22x = 98,413.02 × 21,234.99
  4. Step 4: Simplify right side
    65,609.22x = 2,089,799,495.57
  5. Step 5: Solve for x
    x = 2,089,799,495.57/65,609.22
  6. Step 6: Final answer
    x = 31,852.22

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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.