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Finding the Fourth Proportional to 172,611, 258,919.74 and 47,955.24

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Solution

The fourth proportional to 172,611, 258,919.74 and 47,955.24 is: 71,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,611 : 258,919.74 = 47,955.24 : x
  2. Step 2: Convert to fraction form
    172,611/258,919.74 = 47,955.24/x
  3. Step 3: Cross multiply
    172,611x = 258,919.74 × 47,955.24
  4. Step 4: Simplify right side
    172,611x = 12,416,558,272.44
  5. Step 5: Solve for x
    x = 12,416,558,272.44/172,611
  6. Step 6: Final answer
    x = 71,933.76

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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.