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Finding the Fourth Proportional to 285,201.41, 427,800.94 and 71,969.81

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Solution

The fourth proportional to 285,201.41, 427,800.94 and 71,969.81 is: 107,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,201.41 : 427,800.94 = 71,969.81 : x
  2. Step 2: Convert to fraction form
    285,201.41/427,800.94 = 71,969.81/x
  3. Step 3: Cross multiply
    285,201.41x = 427,800.94 × 71,969.81
  4. Step 4: Simplify right side
    285,201.41x = 30,788,750,050.69
  5. Step 5: Solve for x
    x = 30,788,750,050.69/285,201.41
  6. Step 6: Final answer
    x = 107,954.41

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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.