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Finding the Fourth Proportional to 83,220.73, 114,836.37 and 47,408.60

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Solution

The fourth proportional to 83,220.73, 114,836.37 and 47,408.60 is: 65,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,220.73 : 114,836.37 = 47,408.60 : x
  2. Step 2: Convert to fraction form
    83,220.73/114,836.37 = 47,408.60/x
  3. Step 3: Cross multiply
    83,220.73x = 114,836.37 × 47,408.60
  4. Step 4: Simplify right side
    83,220.73x = 5,444,231,640.09
  5. Step 5: Solve for x
    x = 5,444,231,640.09/83,220.73
  6. Step 6: Final answer
    x = 65,419.18

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1.5x scale

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.