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Finding the Fourth Proportional to 149,291.72, 206,022.80 and 81,309

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Solution

The fourth proportional to 149,291.72, 206,022.80 and 81,309 is: 112,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,291.72 : 206,022.80 = 81,309 : x
  2. Step 2: Convert to fraction form
    149,291.72/206,022.80 = 81,309/x
  3. Step 3: Cross multiply
    149,291.72x = 206,022.80 × 81,309
  4. Step 4: Simplify right side
    149,291.72x = 16,751,507,845.20
  5. Step 5: Solve for x
    x = 16,751,507,845.20/149,291.72
  6. Step 6: Final answer
    x = 112,206.54

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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.