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Finding the Fourth Proportional to 65,162.88, 97,752.02 and 20,774.07

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Solution

The fourth proportional to 65,162.88, 97,752.02 and 20,774.07 is: 31,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,162.88 : 97,752.02 = 20,774.07 : x
  2. Step 2: Convert to fraction form
    65,162.88/97,752.02 = 20,774.07/x
  3. Step 3: Cross multiply
    65,162.88x = 97,752.02 × 20,774.07
  4. Step 4: Simplify right side
    65,162.88x = 2,030,707,202.25
  5. Step 5: Solve for x
    x = 2,030,707,202.25/65,162.88
  6. Step 6: Final answer
    x = 31,163.56

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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.