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Finding the Fourth Proportional to 171,809.65, 257,451.43 and 71,915.46

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Solution

The fourth proportional to 171,809.65, 257,451.43 and 71,915.46 is: 107,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,809.65 : 257,451.43 = 71,915.46 : x
  2. Step 2: Convert to fraction form
    171,809.65/257,451.43 = 71,915.46/x
  3. Step 3: Cross multiply
    171,809.65x = 257,451.43 × 71,915.46
  4. Step 4: Simplify right side
    171,809.65x = 18,514,738,016.11
  5. Step 5: Solve for x
    x = 18,514,738,016.11/171,809.65
  6. Step 6: Final answer
    x = 107,763.09

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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.