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Finding the Fourth Proportional to 65,219.70, 97,816.72 and 20,834.50

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Solution

The fourth proportional to 65,219.70, 97,816.72 and 20,834.50 is: 31,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,219.70 : 97,816.72 = 20,834.50 : x
  2. Step 2: Convert to fraction form
    65,219.70/97,816.72 = 20,834.50/x
  3. Step 3: Cross multiply
    65,219.70x = 97,816.72 × 20,834.50
  4. Step 4: Simplify right side
    65,219.70x = 2,037,962,452.84
  5. Step 5: Solve for x
    x = 2,037,962,452.84/65,219.70
  6. Step 6: Final answer
    x = 31,247.65

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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.