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Finding the Fourth Proportional to 50,284, 75,435.71 and 19,116.82

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Solution

The fourth proportional to 50,284, 75,435.71 and 19,116.82 is: 28,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,284 : 75,435.71 = 19,116.82 : x
  2. Step 2: Convert to fraction form
    50,284/75,435.71 = 19,116.82/x
  3. Step 3: Cross multiply
    50,284x = 75,435.71 × 19,116.82
  4. Step 4: Simplify right side
    50,284x = 1,442,090,794.06
  5. Step 5: Solve for x
    x = 1,442,090,794.06/50,284
  6. Step 6: Final answer
    x = 28,678.92

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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.