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Finding the Fourth Proportional to 51,821.80, 71,514.08 and 29,465.80

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Solution

The fourth proportional to 51,821.80, 71,514.08 and 29,465.80 is: 40,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,821.80 : 71,514.08 = 29,465.80 : x
  2. Step 2: Convert to fraction form
    51,821.80/71,514.08 = 29,465.80/x
  3. Step 3: Cross multiply
    51,821.80x = 71,514.08 × 29,465.80
  4. Step 4: Simplify right side
    51,821.80x = 2,107,219,578.46
  5. Step 5: Solve for x
    x = 2,107,219,578.46/51,821.80
  6. Step 6: Final answer
    x = 40,662.80

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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.