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Finding the Fourth Proportional to 254,622.69, 381,989.39 and 77,143.52

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Solution

The fourth proportional to 254,622.69, 381,989.39 and 77,143.52 is: 115,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,622.69 : 381,989.39 = 77,143.52 : x
  2. Step 2: Convert to fraction form
    254,622.69/381,989.39 = 77,143.52/x
  3. Step 3: Cross multiply
    254,622.69x = 381,989.39 × 77,143.52
  4. Step 4: Simplify right side
    254,622.69x = 29,468,006,716.51
  5. Step 5: Solve for x
    x = 29,468,006,716.51/254,622.69
  6. Step 6: Final answer
    x = 115,732.05

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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.