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Finding the Fourth Proportional to 55,317, 82,975.50 and 17,908.32

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Solution

The fourth proportional to 55,317, 82,975.50 and 17,908.32 is: 26,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,317 : 82,975.50 = 17,908.32 : x
  2. Step 2: Convert to fraction form
    55,317/82,975.50 = 17,908.32/x
  3. Step 3: Cross multiply
    55,317x = 82,975.50 × 17,908.32
  4. Step 4: Simplify right side
    55,317x = 1,485,951,806.16
  5. Step 5: Solve for x
    x = 1,485,951,806.16/55,317
  6. Step 6: Final answer
    x = 26,862.48

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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.