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Finding the Fourth Proportional to 171,881.16, 257,834.04 and 71,940.72

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Solution

The fourth proportional to 171,881.16, 257,834.04 and 71,940.72 is: 107,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,881.16 : 257,834.04 = 71,940.72 : x
  2. Step 2: Convert to fraction form
    171,881.16/257,834.04 = 71,940.72/x
  3. Step 3: Cross multiply
    171,881.16x = 257,834.04 × 71,940.72
  4. Step 4: Simplify right side
    171,881.16x = 18,548,766,478.11
  5. Step 5: Solve for x
    x = 18,548,766,478.11/171,881.16
  6. Step 6: Final answer
    x = 107,916.23

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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.