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Finding the Fourth Proportional to 171,669.70, 257,431.65 and 82,950.40

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Solution

The fourth proportional to 171,669.70, 257,431.65 and 82,950.40 is: 124,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,669.70 : 257,431.65 = 82,950.40 : x
  2. Step 2: Convert to fraction form
    171,669.70/257,431.65 = 82,950.40/x
  3. Step 3: Cross multiply
    171,669.70x = 257,431.65 × 82,950.40
  4. Step 4: Simplify right side
    171,669.70x = 21,354,058,340.16
  5. Step 5: Solve for x
    x = 21,354,058,340.16/171,669.70
  6. Step 6: Final answer
    x = 124,390.37

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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.