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Finding the Fourth Proportional to 161,995.80, 242,961.30 and 77,755.80

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Solution

The fourth proportional to 161,995.80, 242,961.30 and 77,755.80 is: 116,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,995.80 : 242,961.30 = 77,755.80 : x
  2. Step 2: Convert to fraction form
    161,995.80/242,961.30 = 77,755.80/x
  3. Step 3: Cross multiply
    161,995.80x = 242,961.30 × 77,755.80
  4. Step 4: Simplify right side
    161,995.80x = 18,891,650,250.54
  5. Step 5: Solve for x
    x = 18,891,650,250.54/161,995.80
  6. Step 6: Final answer
    x = 116,618.15

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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.