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Finding the Fourth Proportional to 171,432.44, 257,189.71 and 71,537.06

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Solution

The fourth proportional to 171,432.44, 257,189.71 and 71,537.06 is: 107,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,432.44 : 257,189.71 = 71,537.06 : x
  2. Step 2: Convert to fraction form
    171,432.44/257,189.71 = 71,537.06/x
  3. Step 3: Cross multiply
    171,432.44x = 257,189.71 × 71,537.06
  4. Step 4: Simplify right side
    171,432.44x = 18,398,595,715.65
  5. Step 5: Solve for x
    x = 18,398,595,715.65/171,432.44
  6. Step 6: Final answer
    x = 107,322.72

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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.