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Finding the Fourth Proportional to 138,361.44, 207,419.28 and 50,748

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Solution

The fourth proportional to 138,361.44, 207,419.28 and 50,748 is: 76,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,361.44 : 207,419.28 = 50,748 : x
  2. Step 2: Convert to fraction form
    138,361.44/207,419.28 = 50,748/x
  3. Step 3: Cross multiply
    138,361.44x = 207,419.28 × 50,748
  4. Step 4: Simplify right side
    138,361.44x = 10,526,113,621.44
  5. Step 5: Solve for x
    x = 10,526,113,621.44/138,361.44
  6. Step 6: Final answer
    x = 76,076.93

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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.