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Finding the Fourth Proportional to 254,335.65, 381,485.82 and 76,843.59

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Solution

The fourth proportional to 254,335.65, 381,485.82 and 76,843.59 is: 115,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,335.65 : 381,485.82 = 76,843.59 : x
  2. Step 2: Convert to fraction form
    254,335.65/381,485.82 = 76,843.59/x
  3. Step 3: Cross multiply
    254,335.65x = 381,485.82 × 76,843.59
  4. Step 4: Simplify right side
    254,335.65x = 29,314,739,942.89
  5. Step 5: Solve for x
    x = 29,314,739,942.89/254,335.65
  6. Step 6: Final answer
    x = 115,260.05

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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.