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Finding the Fourth Proportional to 104,003.20, 156,004.80 and 81,884.80

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Solution

The fourth proportional to 104,003.20, 156,004.80 and 81,884.80 is: 122,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,003.20 : 156,004.80 = 81,884.80 : x
  2. Step 2: Convert to fraction form
    104,003.20/156,004.80 = 81,884.80/x
  3. Step 3: Cross multiply
    104,003.20x = 156,004.80 × 81,884.80
  4. Step 4: Simplify right side
    104,003.20x = 12,774,421,847.04
  5. Step 5: Solve for x
    x = 12,774,421,847.04/104,003.20
  6. Step 6: Final answer
    x = 122,827.20

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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.