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Finding the Fourth Proportional to 117,540.80, 176,311.20 and 70,884.80

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Solution

The fourth proportional to 117,540.80, 176,311.20 and 70,884.80 is: 106,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,540.80 : 176,311.20 = 70,884.80 : x
  2. Step 2: Convert to fraction form
    117,540.80/176,311.20 = 70,884.80/x
  3. Step 3: Cross multiply
    117,540.80x = 176,311.20 × 70,884.80
  4. Step 4: Simplify right side
    117,540.80x = 12,497,784,149.76
  5. Step 5: Solve for x
    x = 12,497,784,149.76/117,540.80
  6. Step 6: Final answer
    x = 106,327.20

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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.