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Finding the Fourth Proportional to 51,919.82, 71,649.36 and 28,046.51

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Solution

The fourth proportional to 51,919.82, 71,649.36 and 28,046.51 is: 38,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,919.82 : 71,649.36 = 28,046.51 : x
  2. Step 2: Convert to fraction form
    51,919.82/71,649.36 = 28,046.51/x
  3. Step 3: Cross multiply
    51,919.82x = 71,649.36 × 28,046.51
  4. Step 4: Simplify right side
    51,919.82x = 2,009,514,133.49
  5. Step 5: Solve for x
    x = 2,009,514,133.49/51,919.82
  6. Step 6: Final answer
    x = 38,704.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.