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Finding the Fourth Proportional to 207,955.32, 287,055.96 and 161,923.84

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Solution

The fourth proportional to 207,955.32, 287,055.96 and 161,923.84 is: 223,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,955.32 : 287,055.96 = 161,923.84 : x
  2. Step 2: Convert to fraction form
    207,955.32/287,055.96 = 161,923.84/x
  3. Step 3: Cross multiply
    207,955.32x = 287,055.96 × 161,923.84
  4. Step 4: Simplify right side
    207,955.32x = 46,481,203,338.09
  5. Step 5: Solve for x
    x = 46,481,203,338.09/207,955.32
  6. Step 6: Final answer
    x = 223,515.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.