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Finding the Fourth Proportional to 138,018.96, 207,072.18 and 49,270.50

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Solution

The fourth proportional to 138,018.96, 207,072.18 and 49,270.50 is: 73,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,018.96 : 207,072.18 = 49,270.50 : x
  2. Step 2: Convert to fraction form
    138,018.96/207,072.18 = 49,270.50/x
  3. Step 3: Cross multiply
    138,018.96x = 207,072.18 × 49,270.50
  4. Step 4: Simplify right side
    138,018.96x = 10,202,549,844.69
  5. Step 5: Solve for x
    x = 10,202,549,844.69/138,018.96
  6. Step 6: Final answer
    x = 73,921.36

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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.