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Finding the Fourth Proportional to 161,892.20, 242,579.10 and 106,423.40

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Solution

The fourth proportional to 161,892.20, 242,579.10 and 106,423.40 is: 159,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,892.20 : 242,579.10 = 106,423.40 : x
  2. Step 2: Convert to fraction form
    161,892.20/242,579.10 = 106,423.40/x
  3. Step 3: Cross multiply
    161,892.20x = 242,579.10 × 106,423.40
  4. Step 4: Simplify right side
    161,892.20x = 25,816,092,590.94
  5. Step 5: Solve for x
    x = 25,816,092,590.94/161,892.20
  6. Step 6: Final answer
    x = 159,464.71

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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.