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Finding the Fourth Proportional to 30,205.68, 41,712.12 and 19,469.40

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Solution

The fourth proportional to 30,205.68, 41,712.12 and 19,469.40 is: 26,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.68 : 41,712.12 = 19,469.40 : x
  2. Step 2: Convert to fraction form
    30,205.68/41,712.12 = 19,469.40/x
  3. Step 3: Cross multiply
    30,205.68x = 41,712.12 × 19,469.40
  4. Step 4: Simplify right side
    30,205.68x = 812,109,949.13
  5. Step 5: Solve for x
    x = 812,109,949.13/30,205.68
  6. Step 6: Final answer
    x = 26,886.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.