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Finding the Fourth Proportional to 65,212.64, 97,782.24 and 20,828.96

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Solution

The fourth proportional to 65,212.64, 97,782.24 and 20,828.96 is: 31,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.64 : 97,782.24 = 20,828.96 : x
  2. Step 2: Convert to fraction form
    65,212.64/97,782.24 = 20,828.96/x
  3. Step 3: Cross multiply
    65,212.64x = 97,782.24 × 20,828.96
  4. Step 4: Simplify right side
    65,212.64x = 2,036,702,365.67
  5. Step 5: Solve for x
    x = 2,036,702,365.67/65,212.64
  6. Step 6: Final answer
    x = 31,231.71

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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.