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Finding the Fourth Proportional to 171,692.20, 257,465.40 and 82,972.90

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Solution

The fourth proportional to 171,692.20, 257,465.40 and 82,972.90 is: 124,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,692.20 : 257,465.40 = 82,972.90 : x
  2. Step 2: Convert to fraction form
    171,692.20/257,465.40 = 82,972.90/x
  3. Step 3: Cross multiply
    171,692.20x = 257,465.40 × 82,972.90
  4. Step 4: Simplify right side
    171,692.20x = 21,362,650,887.66
  5. Step 5: Solve for x
    x = 21,362,650,887.66/171,692.20
  6. Step 6: Final answer
    x = 124,424.12

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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.