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Finding the Fourth Proportional to 164,791.50, 227,412.27 and 89,340

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Solution

The fourth proportional to 164,791.50, 227,412.27 and 89,340 is: 123,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,791.50 : 227,412.27 = 89,340 : x
  2. Step 2: Convert to fraction form
    164,791.50/227,412.27 = 89,340/x
  3. Step 3: Cross multiply
    164,791.50x = 227,412.27 × 89,340
  4. Step 4: Simplify right side
    164,791.50x = 20,317,012,201.80
  5. Step 5: Solve for x
    x = 20,317,012,201.80/164,791.50
  6. Step 6: Final answer
    x = 123,289.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.