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Finding the Fourth Proportional to 149,129.96, 205,801.81 and 81,147.29

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Solution

The fourth proportional to 149,129.96, 205,801.81 and 81,147.29 is: 111,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,129.96 : 205,801.81 = 81,147.29 : x
  2. Step 2: Convert to fraction form
    149,129.96/205,801.81 = 81,147.29/x
  3. Step 3: Cross multiply
    149,129.96x = 205,801.81 × 81,147.29
  4. Step 4: Simplify right side
    149,129.96x = 16,700,257,926.72
  5. Step 5: Solve for x
    x = 16,700,257,926.72/149,129.96
  6. Step 6: Final answer
    x = 111,984.59

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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.