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Finding the Fourth Proportional to 81,503.97, 122,245.56 and 31,549.89

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Solution

The fourth proportional to 81,503.97, 122,245.56 and 31,549.89 is: 47,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,503.97 : 122,245.56 = 31,549.89 : x
  2. Step 2: Convert to fraction form
    81,503.97/122,245.56 = 31,549.89/x
  3. Step 3: Cross multiply
    81,503.97x = 122,245.56 × 31,549.89
  4. Step 4: Simplify right side
    81,503.97x = 3,856,833,970.99
  5. Step 5: Solve for x
    x = 3,856,833,970.99/81,503.97
  6. Step 6: Final answer
    x = 47,320.81

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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.