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Finding the Fourth Proportional to 161,486.70, 242,132.85 and 82,754.70

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Solution

The fourth proportional to 161,486.70, 242,132.85 and 82,754.70 is: 124,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,486.70 : 242,132.85 = 82,754.70 : x
  2. Step 2: Convert to fraction form
    161,486.70/242,132.85 = 82,754.70/x
  3. Step 3: Cross multiply
    161,486.70x = 242,132.85 × 82,754.70
  4. Step 4: Simplify right side
    161,486.70x = 20,037,631,361.90
  5. Step 5: Solve for x
    x = 20,037,631,361.90/161,486.70
  6. Step 6: Final answer
    x = 124,082.24

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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.