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Finding the Fourth Proportional to 254,656.44, 381,977.78 and 86,175.63

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Solution

The fourth proportional to 254,656.44, 381,977.78 and 86,175.63 is: 129,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,656.44 : 381,977.78 = 86,175.63 : x
  2. Step 2: Convert to fraction form
    254,656.44/381,977.78 = 86,175.63/x
  3. Step 3: Cross multiply
    254,656.44x = 381,977.78 × 86,175.63
  4. Step 4: Simplify right side
    254,656.44x = 32,917,175,406.62
  5. Step 5: Solve for x
    x = 32,917,175,406.62/254,656.44
  6. Step 6: Final answer
    x = 129,261.12

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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.