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Finding the Fourth Proportional to 81,218.96, 121,880.28 and 31,339.28

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Solution

The fourth proportional to 81,218.96, 121,880.28 and 31,339.28 is: 47,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,218.96 : 121,880.28 = 31,339.28 : x
  2. Step 2: Convert to fraction form
    81,218.96/121,880.28 = 31,339.28/x
  3. Step 3: Cross multiply
    81,218.96x = 121,880.28 × 31,339.28
  4. Step 4: Simplify right side
    81,218.96x = 3,819,640,221.40
  5. Step 5: Solve for x
    x = 3,819,640,221.40/81,218.96
  6. Step 6: Final answer
    x = 47,028.92

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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.