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Finding the Fourth Proportional to 77,958.68, 116,936.40 and 31,199

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Solution

The fourth proportional to 77,958.68, 116,936.40 and 31,199 is: 46,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,958.68 : 116,936.40 = 31,199 : x
  2. Step 2: Convert to fraction form
    77,958.68/116,936.40 = 31,199/x
  3. Step 3: Cross multiply
    77,958.68x = 116,936.40 × 31,199
  4. Step 4: Simplify right side
    77,958.68x = 3,648,298,743.60
  5. Step 5: Solve for x
    x = 3,648,298,743.60/77,958.68
  6. Step 6: Final answer
    x = 46,797.85

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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.