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Finding the Fourth Proportional to 171,652, 257,478.36 and 73,156

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Solution

The fourth proportional to 171,652, 257,478.36 and 73,156 is: 109,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,652 : 257,478.36 = 73,156 : x
  2. Step 2: Convert to fraction form
    171,652/257,478.36 = 73,156/x
  3. Step 3: Cross multiply
    171,652x = 257,478.36 × 73,156
  4. Step 4: Simplify right side
    171,652x = 18,836,086,904.16
  5. Step 5: Solve for x
    x = 18,836,086,904.16/171,652
  6. Step 6: Final answer
    x = 109,734.15

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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.