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Finding the Fourth Proportional to 207,796.45, 310,917.06 and 137,812.45

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Solution

The fourth proportional to 207,796.45, 310,917.06 and 137,812.45 is: 206,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,796.45 : 310,917.06 = 137,812.45 : x
  2. Step 2: Convert to fraction form
    207,796.45/310,917.06 = 137,812.45/x
  3. Step 3: Cross multiply
    207,796.45x = 310,917.06 × 137,812.45
  4. Step 4: Simplify right side
    207,796.45x = 42,848,241,785.40
  5. Step 5: Solve for x
    x = 42,848,241,785.40/207,796.45
  6. Step 6: Final answer
    x = 206,202.95

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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.