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Finding the Fourth Proportional to 149,892.46, 206,852.16 and 81,909.46

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Solution

The fourth proportional to 149,892.46, 206,852.16 and 81,909.46 is: 113,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,892.46 : 206,852.16 = 81,909.46 : x
  2. Step 2: Convert to fraction form
    149,892.46/206,852.16 = 81,909.46/x
  3. Step 3: Cross multiply
    149,892.46x = 206,852.16 × 81,909.46
  4. Step 4: Simplify right side
    149,892.46x = 16,943,149,291.16
  5. Step 5: Solve for x
    x = 16,943,149,291.16/149,892.46
  6. Step 6: Final answer
    x = 113,035.37

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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.