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Finding the Fourth Proportional to 161,843.41, 242,114.64 and 139,892.41

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Solution

The fourth proportional to 161,843.41, 242,114.64 and 139,892.41 is: 209,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,843.41 : 242,114.64 = 139,892.41 : x
  2. Step 2: Convert to fraction form
    161,843.41/242,114.64 = 139,892.41/x
  3. Step 3: Cross multiply
    161,843.41x = 242,114.64 × 139,892.41
  4. Step 4: Simplify right side
    161,843.41x = 33,870,000,485.88
  5. Step 5: Solve for x
    x = 33,870,000,485.88/161,843.41
  6. Step 6: Final answer
    x = 209,276.36

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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.