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Finding the Fourth Proportional to 207,290.28, 310,954.86 and 82,641

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Solution

The fourth proportional to 207,290.28, 310,954.86 and 82,641 is: 123,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,290.28 : 310,954.86 = 82,641 : x
  2. Step 2: Convert to fraction form
    207,290.28/310,954.86 = 82,641/x
  3. Step 3: Cross multiply
    207,290.28x = 310,954.86 × 82,641
  4. Step 4: Simplify right side
    207,290.28x = 25,697,620,585.26
  5. Step 5: Solve for x
    x = 25,697,620,585.26/207,290.28
  6. Step 6: Final answer
    x = 123,969.25

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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.