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Finding the Fourth Proportional to 65,350.51, 98,016.50 and 20,971.52

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Solution

The fourth proportional to 65,350.51, 98,016.50 and 20,971.52 is: 31,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,350.51 : 98,016.50 = 20,971.52 : x
  2. Step 2: Convert to fraction form
    65,350.51/98,016.50 = 20,971.52/x
  3. Step 3: Cross multiply
    65,350.51x = 98,016.50 × 20,971.52
  4. Step 4: Simplify right side
    65,350.51x = 2,055,555,235.12
  5. Step 5: Solve for x
    x = 2,055,555,235.12/65,350.51
  6. Step 6: Final answer
    x = 31,454.31

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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.