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Finding the Fourth Proportional to 171,887.64, 257,567.73 and 71,993.17

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Solution

The fourth proportional to 171,887.64, 257,567.73 and 71,993.17 is: 107,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,887.64 : 257,567.73 = 71,993.17 : x
  2. Step 2: Convert to fraction form
    171,887.64/257,567.73 = 71,993.17/x
  3. Step 3: Cross multiply
    171,887.64x = 257,567.73 × 71,993.17
  4. Step 4: Simplify right side
    171,887.64x = 18,543,117,372.40
  5. Step 5: Solve for x
    x = 18,543,117,372.40/171,887.64
  6. Step 6: Final answer
    x = 107,879.30

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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.