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Finding the Fourth Proportional to 254,533.82, 381,883.78 and 121,396.78

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Solution

The fourth proportional to 254,533.82, 381,883.78 and 121,396.78 is: 182,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,533.82 : 381,883.78 = 121,396.78 : x
  2. Step 2: Convert to fraction form
    254,533.82/381,883.78 = 121,396.78/x
  3. Step 3: Cross multiply
    254,533.82x = 381,883.78 × 121,396.78
  4. Step 4: Simplify right side
    254,533.82x = 46,359,461,139.30
  5. Step 5: Solve for x
    x = 46,359,461,139.30/254,533.82
  6. Step 6: Final answer
    x = 182,134.78

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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.