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Finding the Fourth Proportional to 77,813.84, 116,751 and 31,099.52

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Solution

The fourth proportional to 77,813.84, 116,751 and 31,099.52 is: 46,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,813.84 : 116,751 = 31,099.52 : x
  2. Step 2: Convert to fraction form
    77,813.84/116,751 = 31,099.52/x
  3. Step 3: Cross multiply
    77,813.84x = 116,751 × 31,099.52
  4. Step 4: Simplify right side
    77,813.84x = 3,630,900,059.52
  5. Step 5: Solve for x
    x = 3,630,900,059.52/77,813.84
  6. Step 6: Final answer
    x = 46,661.37

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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.