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Finding the Fourth Proportional to 138,162.40, 207,243.60 and 135,090.40

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Solution

The fourth proportional to 138,162.40, 207,243.60 and 135,090.40 is: 202,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,162.40 : 207,243.60 = 135,090.40 : x
  2. Step 2: Convert to fraction form
    138,162.40/207,243.60 = 135,090.40/x
  3. Step 3: Cross multiply
    138,162.40x = 207,243.60 × 135,090.40
  4. Step 4: Simplify right side
    138,162.40x = 27,996,620,821.44
  5. Step 5: Solve for x
    x = 27,996,620,821.44/138,162.40
  6. Step 6: Final answer
    x = 202,635.60

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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.