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Finding the Fourth Proportional to 110,828.80, 166,243.20 and 87,209.20

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Solution

The fourth proportional to 110,828.80, 166,243.20 and 87,209.20 is: 130,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,828.80 : 166,243.20 = 87,209.20 : x
  2. Step 2: Convert to fraction form
    110,828.80/166,243.20 = 87,209.20/x
  3. Step 3: Cross multiply
    110,828.80x = 166,243.20 × 87,209.20
  4. Step 4: Simplify right side
    110,828.80x = 14,497,936,477.44
  5. Step 5: Solve for x
    x = 14,497,936,477.44/110,828.80
  6. Step 6: Final answer
    x = 130,813.80

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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.