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Finding the Fourth Proportional to 77,406.50, 116,120.10 and 30,648.44

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Solution

The fourth proportional to 77,406.50, 116,120.10 and 30,648.44 is: 45,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406.50 : 116,120.10 = 30,648.44 : x
  2. Step 2: Convert to fraction form
    77,406.50/116,120.10 = 30,648.44/x
  3. Step 3: Cross multiply
    77,406.50x = 116,120.10 × 30,648.44
  4. Step 4: Simplify right side
    77,406.50x = 3,558,899,917.64
  5. Step 5: Solve for x
    x = 3,558,899,917.64/77,406.50
  6. Step 6: Final answer
    x = 45,976.76

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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.