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Finding the Fourth Proportional to 140,541.90, 210,375.45 and 81,201.30

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Solution

The fourth proportional to 140,541.90, 210,375.45 and 81,201.30 is: 121,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,541.90 : 210,375.45 = 81,201.30 : x
  2. Step 2: Convert to fraction form
    140,541.90/210,375.45 = 81,201.30/x
  3. Step 3: Cross multiply
    140,541.90x = 210,375.45 × 81,201.30
  4. Step 4: Simplify right side
    140,541.90x = 17,082,760,028.09
  5. Step 5: Solve for x
    x = 17,082,760,028.09/140,541.90
  6. Step 6: Final answer
    x = 121,549.23

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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.