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Finding the Fourth Proportional to 161,714.70, 242,615.79 and 91,643.22

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Solution

The fourth proportional to 161,714.70, 242,615.79 and 91,643.22 is: 137,489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,714.70 : 242,615.79 = 91,643.22 : x
  2. Step 2: Convert to fraction form
    161,714.70/242,615.79 = 91,643.22/x
  3. Step 3: Cross multiply
    161,714.70x = 242,615.79 × 91,643.22
  4. Step 4: Simplify right side
    161,714.70x = 22,234,092,218.44
  5. Step 5: Solve for x
    x = 22,234,092,218.44/161,714.70
  6. Step 6: Final answer
    x = 137,489.62

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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.