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Finding the Fourth Proportional to 65,212.14, 97,781.48 and 20,828.46

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Solution

The fourth proportional to 65,212.14, 97,781.48 and 20,828.46 is: 31,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.14 : 97,781.48 = 20,828.46 : x
  2. Step 2: Convert to fraction form
    65,212.14/97,781.48 = 20,828.46/x
  3. Step 3: Cross multiply
    65,212.14x = 97,781.48 × 20,828.46
  4. Step 4: Simplify right side
    65,212.14x = 2,036,637,644.92
  5. Step 5: Solve for x
    x = 2,036,637,644.92/65,212.14
  6. Step 6: Final answer
    x = 31,230.96

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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.