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Finding the Fourth Proportional to 254,551.10, 381,729.45 and 76,999.10

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Solution

The fourth proportional to 254,551.10, 381,729.45 and 76,999.10 is: 115,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,551.10 : 381,729.45 = 76,999.10 : x
  2. Step 2: Convert to fraction form
    254,551.10/381,729.45 = 76,999.10/x
  3. Step 3: Cross multiply
    254,551.10x = 381,729.45 × 76,999.10
  4. Step 4: Simplify right side
    254,551.10x = 29,392,824,093.50
  5. Step 5: Solve for x
    x = 29,392,824,093.50/254,551.10
  6. Step 6: Final answer
    x = 115,469.25

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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.