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Finding the Fourth Proportional to 204,847.79, 307,260.74 and 78,548.54

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Solution

The fourth proportional to 204,847.79, 307,260.74 and 78,548.54 is: 117,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,847.79 : 307,260.74 = 78,548.54 : x
  2. Step 2: Convert to fraction form
    204,847.79/307,260.74 = 78,548.54/x
  3. Step 3: Cross multiply
    204,847.79x = 307,260.74 × 78,548.54
  4. Step 4: Simplify right side
    204,847.79x = 24,134,881,186.39
  5. Step 5: Solve for x
    x = 24,134,881,186.39/204,847.79
  6. Step 6: Final answer
    x = 117,818.61

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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.