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Finding the Fourth Proportional to 207,788.45, 310,905.06 and 137,804.45

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Solution

The fourth proportional to 207,788.45, 310,905.06 and 137,804.45 is: 206,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,788.45 : 310,905.06 = 137,804.45 : x
  2. Step 2: Convert to fraction form
    207,788.45/310,905.06 = 137,804.45/x
  3. Step 3: Cross multiply
    207,788.45x = 310,905.06 × 137,804.45
  4. Step 4: Simplify right side
    207,788.45x = 42,844,100,795.52
  5. Step 5: Solve for x
    x = 42,844,100,795.52/207,788.45
  6. Step 6: Final answer
    x = 206,190.96

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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.