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Finding the Fourth Proportional to 71,618.48, 107,418 and 21,016.16

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Solution

The fourth proportional to 71,618.48, 107,418 and 21,016.16 is: 31,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,618.48 : 107,418 = 21,016.16 : x
  2. Step 2: Convert to fraction form
    71,618.48/107,418 = 21,016.16/x
  3. Step 3: Cross multiply
    71,618.48x = 107,418 × 21,016.16
  4. Step 4: Simplify right side
    71,618.48x = 2,257,513,874.88
  5. Step 5: Solve for x
    x = 2,257,513,874.88/71,618.48
  6. Step 6: Final answer
    x = 31,521.39

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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.