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Finding the Fourth Proportional to 171,319.25, 257,039.73 and 76,540.75

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Solution

The fourth proportional to 171,319.25, 257,039.73 and 76,540.75 is: 114,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,319.25 : 257,039.73 = 76,540.75 : x
  2. Step 2: Convert to fraction form
    171,319.25/257,039.73 = 76,540.75/x
  3. Step 3: Cross multiply
    171,319.25x = 257,039.73 × 76,540.75
  4. Step 4: Simplify right side
    171,319.25x = 19,674,013,071.40
  5. Step 5: Solve for x
    x = 19,674,013,071.40/171,319.25
  6. Step 6: Final answer
    x = 114,838.31

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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.