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Finding the Fourth Proportional to 65,231.10, 97,846.65 and 20,859.30

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Solution

The fourth proportional to 65,231.10, 97,846.65 and 20,859.30 is: 31,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,231.10 : 97,846.65 = 20,859.30 : x
  2. Step 2: Convert to fraction form
    65,231.10/97,846.65 = 20,859.30/x
  3. Step 3: Cross multiply
    65,231.10x = 97,846.65 × 20,859.30
  4. Step 4: Simplify right side
    65,231.10x = 2,041,012,626.35
  5. Step 5: Solve for x
    x = 2,041,012,626.35/65,231.10
  6. Step 6: Final answer
    x = 31,288.95

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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.