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Finding the Fourth Proportional to 161,714.20, 242,571.30 and 145,967.80

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Solution

The fourth proportional to 161,714.20, 242,571.30 and 145,967.80 is: 218,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,714.20 : 242,571.30 = 145,967.80 : x
  2. Step 2: Convert to fraction form
    161,714.20/242,571.30 = 145,967.80/x
  3. Step 3: Cross multiply
    161,714.20x = 242,571.30 × 145,967.80
  4. Step 4: Simplify right side
    161,714.20x = 35,407,599,004.14
  5. Step 5: Solve for x
    x = 35,407,599,004.14/161,714.20
  6. Step 6: Final answer
    x = 218,951.70

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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.