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Finding the Fourth Proportional to 81,233.28, 112,069.44 and 51,408

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Solution

The fourth proportional to 81,233.28, 112,069.44 and 51,408 is: 70,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,233.28 : 112,069.44 = 51,408 : x
  2. Step 2: Convert to fraction form
    81,233.28/112,069.44 = 51,408/x
  3. Step 3: Cross multiply
    81,233.28x = 112,069.44 × 51,408
  4. Step 4: Simplify right side
    81,233.28x = 5,761,265,771.52
  5. Step 5: Solve for x
    x = 5,761,265,771.52/81,233.28
  6. Step 6: Final answer
    x = 70,922.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.