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Finding the Fourth Proportional to 171,855.57, 257,749.05 and 57,992.25

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Solution

The fourth proportional to 171,855.57, 257,749.05 and 57,992.25 is: 86,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,855.57 : 257,749.05 = 57,992.25 : x
  2. Step 2: Convert to fraction form
    171,855.57/257,749.05 = 57,992.25/x
  3. Step 3: Cross multiply
    171,855.57x = 257,749.05 × 57,992.25
  4. Step 4: Simplify right side
    171,855.57x = 14,947,447,344.86
  5. Step 5: Solve for x
    x = 14,947,447,344.86/171,855.57
  6. Step 6: Final answer
    x = 86,976.80

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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.