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Finding the Fourth Proportional to 51,646, 71,283.63 and 31,519.53

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Solution

The fourth proportional to 51,646, 71,283.63 and 31,519.53 is: 43,504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,646 : 71,283.63 = 31,519.53 : x
  2. Step 2: Convert to fraction form
    51,646/71,283.63 = 31,519.53/x
  3. Step 3: Cross multiply
    51,646x = 71,283.63 × 31,519.53
  4. Step 4: Simplify right side
    51,646x = 2,246,826,514.29
  5. Step 5: Solve for x
    x = 2,246,826,514.29/51,646
  6. Step 6: Final answer
    x = 43,504.37

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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.