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Finding the Fourth Proportional to 171,491.47, 257,237.30 and 71,597.21

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Solution

The fourth proportional to 171,491.47, 257,237.30 and 71,597.21 is: 107,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,491.47 : 257,237.30 = 71,597.21 : x
  2. Step 2: Convert to fraction form
    171,491.47/257,237.30 = 71,597.21/x
  3. Step 3: Cross multiply
    171,491.47x = 257,237.30 × 71,597.21
  4. Step 4: Simplify right side
    171,491.47x = 18,417,471,880.74
  5. Step 5: Solve for x
    x = 18,417,471,880.74/171,491.47
  6. Step 6: Final answer
    x = 107,395.85

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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.