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Finding the Fourth Proportional to 178,479, 267,729.44 and 53,820

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Solution

The fourth proportional to 178,479, 267,729.44 and 53,820 is: 80,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,479 : 267,729.44 = 53,820 : x
  2. Step 2: Convert to fraction form
    178,479/267,729.44 = 53,820/x
  3. Step 3: Cross multiply
    178,479x = 267,729.44 × 53,820
  4. Step 4: Simplify right side
    178,479x = 14,409,198,191.70
  5. Step 5: Solve for x
    x = 14,409,198,191.70/178,479
  6. Step 6: Final answer
    x = 80,733.30

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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.