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Finding the Fourth Proportional to 254,147.29, 381,097.81 and 76,621.21

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Solution

The fourth proportional to 254,147.29, 381,097.81 and 76,621.21 is: 114,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,147.29 : 381,097.81 = 76,621.21 : x
  2. Step 2: Convert to fraction form
    254,147.29/381,097.81 = 76,621.21/x
  3. Step 3: Cross multiply
    254,147.29x = 381,097.81 × 76,621.21
  4. Step 4: Simplify right side
    254,147.29x = 29,200,174,473.58
  5. Step 5: Solve for x
    x = 29,200,174,473.58/254,147.29
  6. Step 6: Final answer
    x = 114,894.69

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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.