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Finding the Fourth Proportional to 171,840.30, 257,861.25 and 71,992.86

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Solution

The fourth proportional to 171,840.30, 257,861.25 and 71,992.86 is: 108,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,840.30 : 257,861.25 = 71,992.86 : x
  2. Step 2: Convert to fraction form
    171,840.30/257,861.25 = 71,992.86/x
  3. Step 3: Cross multiply
    171,840.30x = 257,861.25 × 71,992.86
  4. Step 4: Simplify right side
    171,840.30x = 18,564,168,870.68
  5. Step 5: Solve for x
    x = 18,564,168,870.68/171,840.30
  6. Step 6: Final answer
    x = 108,031.52

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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.