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Finding the Fourth Proportional to 48,171, 66,453.53 and 31,180.71

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Solution

The fourth proportional to 48,171, 66,453.53 and 31,180.71 is: 43,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,171 : 66,453.53 = 31,180.71 : x
  2. Step 2: Convert to fraction form
    48,171/66,453.53 = 31,180.71/x
  3. Step 3: Cross multiply
    48,171x = 66,453.53 × 31,180.71
  4. Step 4: Simplify right side
    48,171x = 2,072,068,091.50
  5. Step 5: Solve for x
    x = 2,072,068,091.50/48,171
  6. Step 6: Final answer
    x = 43,014.84

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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.