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Finding the Fourth Proportional to 171,811, 257,721.36 and 47,152

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Solution

The fourth proportional to 171,811, 257,721.36 and 47,152 is: 70,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,811 : 257,721.36 = 47,152 : x
  2. Step 2: Convert to fraction form
    171,811/257,721.36 = 47,152/x
  3. Step 3: Cross multiply
    171,811x = 257,721.36 × 47,152
  4. Step 4: Simplify right side
    171,811x = 12,152,077,566.72
  5. Step 5: Solve for x
    x = 12,152,077,566.72/171,811
  6. Step 6: Final answer
    x = 70,729.33

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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.