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Finding the Fourth Proportional to 171,436.92, 257,196.42 and 71,541.53

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Solution

The fourth proportional to 171,436.92, 257,196.42 and 71,541.53 is: 107,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,436.92 : 257,196.42 = 71,541.53 : x
  2. Step 2: Convert to fraction form
    171,436.92/257,196.42 = 71,541.53/x
  3. Step 3: Cross multiply
    171,436.92x = 257,196.42 × 71,541.53
  4. Step 4: Simplify right side
    171,436.92x = 18,400,225,039.62
  5. Step 5: Solve for x
    x = 18,400,225,039.62/171,436.92
  6. Step 6: Final answer
    x = 107,329.42

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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.