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Finding the Fourth Proportional to 148,149, 204,445.62 and 81,081

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Solution

The fourth proportional to 148,149, 204,445.62 and 81,081 is: 111,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,149 : 204,445.62 = 81,081 : x
  2. Step 2: Convert to fraction form
    148,149/204,445.62 = 81,081/x
  3. Step 3: Cross multiply
    148,149x = 204,445.62 × 81,081
  4. Step 4: Simplify right side
    148,149x = 16,576,655,315.22
  5. Step 5: Solve for x
    x = 16,576,655,315.22/148,149
  6. Step 6: Final answer
    x = 111,891.78

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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.