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Finding the Fourth Proportional to 171,665.81, 257,449.50 and 51,734.37

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Solution

The fourth proportional to 171,665.81, 257,449.50 and 51,734.37 is: 77,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,665.81 : 257,449.50 = 51,734.37 : x
  2. Step 2: Convert to fraction form
    171,665.81/257,449.50 = 51,734.37/x
  3. Step 3: Cross multiply
    171,665.81x = 257,449.50 × 51,734.37
  4. Step 4: Simplify right side
    171,665.81x = 13,318,987,689.32
  5. Step 5: Solve for x
    x = 13,318,987,689.32/171,665.81
  6. Step 6: Final answer
    x = 77,586.73

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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.