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Finding the Fourth Proportional to 254,016.64, 381,039.54 and 76,505.14

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Solution

The fourth proportional to 254,016.64, 381,039.54 and 76,505.14 is: 114,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,016.64 : 381,039.54 = 76,505.14 : x
  2. Step 2: Convert to fraction form
    254,016.64/381,039.54 = 76,505.14/x
  3. Step 3: Cross multiply
    254,016.64x = 381,039.54 × 76,505.14
  4. Step 4: Simplify right side
    254,016.64x = 29,151,481,065.51
  5. Step 5: Solve for x
    x = 29,151,481,065.51/254,016.64
  6. Step 6: Final answer
    x = 114,762.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.