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Finding the Fourth Proportional to 65,786.04, 98,679.96 and 21,413.01

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Solution

The fourth proportional to 65,786.04, 98,679.96 and 21,413.01 is: 32,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,786.04 : 98,679.96 = 21,413.01 : x
  2. Step 2: Convert to fraction form
    65,786.04/98,679.96 = 21,413.01/x
  3. Step 3: Cross multiply
    65,786.04x = 98,679.96 × 21,413.01
  4. Step 4: Simplify right side
    65,786.04x = 2,113,034,970.28
  5. Step 5: Solve for x
    x = 2,113,034,970.28/65,786.04
  6. Step 6: Final answer
    x = 32,119.81

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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.