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Finding the Fourth Proportional to 254,203.97, 381,308.58 and 76,712.45

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Solution

The fourth proportional to 254,203.97, 381,308.58 and 76,712.45 is: 115,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,203.97 : 381,308.58 = 76,712.45 : x
  2. Step 2: Convert to fraction form
    254,203.97/381,308.58 = 76,712.45/x
  3. Step 3: Cross multiply
    254,203.97x = 381,308.58 × 76,712.45
  4. Step 4: Simplify right side
    254,203.97x = 29,251,113,471.28
  5. Step 5: Solve for x
    x = 29,251,113,471.28/254,203.97
  6. Step 6: Final answer
    x = 115,069.46

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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.