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Finding the Fourth Proportional to 65,040.80, 97,540.44 and 20,657.17

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Solution

The fourth proportional to 65,040.80, 97,540.44 and 20,657.17 is: 30,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,040.80 : 97,540.44 = 20,657.17 : x
  2. Step 2: Convert to fraction form
    65,040.80/97,540.44 = 20,657.17/x
  3. Step 3: Cross multiply
    65,040.80x = 97,540.44 × 20,657.17
  4. Step 4: Simplify right side
    65,040.80x = 2,014,909,450.95
  5. Step 5: Solve for x
    x = 2,014,909,450.95/65,040.80
  6. Step 6: Final answer
    x = 30,979.16

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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.