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Finding the Fourth Proportional to 76,576.80, 114,865.20 and 71,047.20

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Solution

The fourth proportional to 76,576.80, 114,865.20 and 71,047.20 is: 106,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,576.80 : 114,865.20 = 71,047.20 : x
  2. Step 2: Convert to fraction form
    76,576.80/114,865.20 = 71,047.20/x
  3. Step 3: Cross multiply
    76,576.80x = 114,865.20 × 71,047.20
  4. Step 4: Simplify right side
    76,576.80x = 8,160,850,837.44
  5. Step 5: Solve for x
    x = 8,160,850,837.44/76,576.80
  6. Step 6: Final answer
    x = 106,570.80

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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.