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Finding the Fourth Proportional to 171,524, 257,373.75 and 81,668.36

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Solution

The fourth proportional to 171,524, 257,373.75 and 81,668.36 is: 122,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,524 : 257,373.75 = 81,668.36 : x
  2. Step 2: Convert to fraction form
    171,524/257,373.75 = 81,668.36/x
  3. Step 3: Cross multiply
    171,524x = 257,373.75 × 81,668.36
  4. Step 4: Simplify right side
    171,524x = 21,019,292,069.55
  5. Step 5: Solve for x
    x = 21,019,292,069.55/171,524
  6. Step 6: Final answer
    x = 122,544.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.