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Finding the Fourth Proportional to 204,410.91, 306,617.76 and 78,017.07

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Solution

The fourth proportional to 204,410.91, 306,617.76 and 78,017.07 is: 117,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,410.91 : 306,617.76 = 78,017.07 : x
  2. Step 2: Convert to fraction form
    204,410.91/306,617.76 = 78,017.07/x
  3. Step 3: Cross multiply
    204,410.91x = 306,617.76 × 78,017.07
  4. Step 4: Simplify right side
    204,410.91x = 23,921,419,245.16
  5. Step 5: Solve for x
    x = 23,921,419,245.16/204,410.91
  6. Step 6: Final answer
    x = 117,026.14

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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.