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Finding the Fourth Proportional to 161,910.66, 242,919.78 and 71,940.87

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Solution

The fourth proportional to 161,910.66, 242,919.78 and 71,940.87 is: 107,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,910.66 : 242,919.78 = 71,940.87 : x
  2. Step 2: Convert to fraction form
    161,910.66/242,919.78 = 71,940.87/x
  3. Step 3: Cross multiply
    161,910.66x = 242,919.78 × 71,940.87
  4. Step 4: Simplify right side
    161,910.66x = 17,475,860,313.41
  5. Step 5: Solve for x
    x = 17,475,860,313.41/161,910.66
  6. Step 6: Final answer
    x = 107,935.21

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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.