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Finding the Fourth Proportional to 65,212.99, 97,811.31 and 20,836.06

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Solution

The fourth proportional to 65,212.99, 97,811.31 and 20,836.06 is: 31,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.99 : 97,811.31 = 20,836.06 : x
  2. Step 2: Convert to fraction form
    65,212.99/97,811.31 = 20,836.06/x
  3. Step 3: Cross multiply
    65,212.99x = 97,811.31 × 20,836.06
  4. Step 4: Simplify right side
    65,212.99x = 2,038,002,323.84
  5. Step 5: Solve for x
    x = 2,038,002,323.84/65,212.99
  6. Step 6: Final answer
    x = 31,251.48

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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.