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Finding the Fourth Proportional to 81,505.84, 122,270.12 and 37,143.76

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Solution

The fourth proportional to 81,505.84, 122,270.12 and 37,143.76 is: 55,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,505.84 : 122,270.12 = 37,143.76 : x
  2. Step 2: Convert to fraction form
    81,505.84/122,270.12 = 37,143.76/x
  3. Step 3: Cross multiply
    81,505.84x = 122,270.12 × 37,143.76
  4. Step 4: Simplify right side
    81,505.84x = 4,541,571,992.45
  5. Step 5: Solve for x
    x = 4,541,571,992.45/81,505.84
  6. Step 6: Final answer
    x = 55,720.82

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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.