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Finding the Fourth Proportional to 253,701.60, 380,286.72 and 85,180.56

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Solution

The fourth proportional to 253,701.60, 380,286.72 and 85,180.56 is: 127,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,701.60 : 380,286.72 = 85,180.56 : x
  2. Step 2: Convert to fraction form
    253,701.60/380,286.72 = 85,180.56/x
  3. Step 3: Cross multiply
    253,701.60x = 380,286.72 × 85,180.56
  4. Step 4: Simplify right side
    253,701.60x = 32,393,035,770.16
  5. Step 5: Solve for x
    x = 32,393,035,770.16/253,701.60
  6. Step 6: Final answer
    x = 127,681.64

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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.