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Finding the Fourth Proportional to 81,494.67, 122,218.29 and 31,563.63

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Solution

The fourth proportional to 81,494.67, 122,218.29 and 31,563.63 is: 47,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,494.67 : 122,218.29 = 31,563.63 : x
  2. Step 2: Convert to fraction form
    81,494.67/122,218.29 = 31,563.63/x
  3. Step 3: Cross multiply
    81,494.67x = 122,218.29 × 31,563.63
  4. Step 4: Simplify right side
    81,494.67x = 3,857,652,884.79
  5. Step 5: Solve for x
    x = 3,857,652,884.79/81,494.67
  6. Step 6: Final answer
    x = 47,336.26

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1.5x scale

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.