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Finding the Fourth Proportional to 30,209.40, 41,689.50 and 16,781.88

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Solution

The fourth proportional to 30,209.40, 41,689.50 and 16,781.88 is: 23,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.40 : 41,689.50 = 16,781.88 : x
  2. Step 2: Convert to fraction form
    30,209.40/41,689.50 = 16,781.88/x
  3. Step 3: Cross multiply
    30,209.40x = 41,689.50 × 16,781.88
  4. Step 4: Simplify right side
    30,209.40x = 699,628,186.26
  5. Step 5: Solve for x
    x = 699,628,186.26/30,209.40
  6. Step 6: Final answer
    x = 23,159.29

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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.