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Finding the Fourth Proportional to 103,108.64, 154,720.36 and 55,722.80

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Solution

The fourth proportional to 103,108.64, 154,720.36 and 55,722.80 is: 83,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,108.64 : 154,720.36 = 55,722.80 : x
  2. Step 2: Convert to fraction form
    103,108.64/154,720.36 = 55,722.80/x
  3. Step 3: Cross multiply
    103,108.64x = 154,720.36 × 55,722.80
  4. Step 4: Simplify right side
    103,108.64x = 8,621,451,676.21
  5. Step 5: Solve for x
    x = 8,621,451,676.21/103,108.64
  6. Step 6: Final answer
    x = 83,615.22

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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.