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Finding the Fourth Proportional to 71,696.98, 107,518.65 and 21,080.71

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Solution

The fourth proportional to 71,696.98, 107,518.65 and 21,080.71 is: 31,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696.98 : 107,518.65 = 21,080.71 : x
  2. Step 2: Convert to fraction form
    71,696.98/107,518.65 = 21,080.71/x
  3. Step 3: Cross multiply
    71,696.98x = 107,518.65 × 21,080.71
  4. Step 4: Simplify right side
    71,696.98x = 2,266,569,480.24
  5. Step 5: Solve for x
    x = 2,266,569,480.24/71,696.98
  6. Step 6: Final answer
    x = 31,613.18

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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.