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Finding the Fourth Proportional to 161,453.80, 242,180.70 and 82,721.80

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Solution

The fourth proportional to 161,453.80, 242,180.70 and 82,721.80 is: 124,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,453.80 : 242,180.70 = 82,721.80 : x
  2. Step 2: Convert to fraction form
    161,453.80/242,180.70 = 82,721.80/x
  3. Step 3: Cross multiply
    161,453.80x = 242,180.70 × 82,721.80
  4. Step 4: Simplify right side
    161,453.80x = 20,033,623,429.26
  5. Step 5: Solve for x
    x = 20,033,623,429.26/161,453.80
  6. Step 6: Final answer
    x = 124,082.70

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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.