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Finding the Fourth Proportional to 204,659.75, 307,038.78 and 78,297.93

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Solution

The fourth proportional to 204,659.75, 307,038.78 and 78,297.93 is: 117,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,659.75 : 307,038.78 = 78,297.93 : x
  2. Step 2: Convert to fraction form
    204,659.75/307,038.78 = 78,297.93/x
  3. Step 3: Cross multiply
    204,659.75x = 307,038.78 × 78,297.93
  4. Step 4: Simplify right side
    204,659.75x = 24,040,500,903.73
  5. Step 5: Solve for x
    x = 24,040,500,903.73/204,659.75
  6. Step 6: Final answer
    x = 117,465.70

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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.