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Finding the Fourth Proportional to 66,965.80, 100,563.90 and 47,381.80

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Solution

The fourth proportional to 66,965.80, 100,563.90 and 47,381.80 is: 71,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,965.80 : 100,563.90 = 47,381.80 : x
  2. Step 2: Convert to fraction form
    66,965.80/100,563.90 = 47,381.80/x
  3. Step 3: Cross multiply
    66,965.80x = 100,563.90 × 47,381.80
  4. Step 4: Simplify right side
    66,965.80x = 4,764,898,597.02
  5. Step 5: Solve for x
    x = 4,764,898,597.02/66,965.80
  6. Step 6: Final answer
    x = 71,154.21

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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.