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Finding the Fourth Proportional to 161,709.10, 242,563.65 and 102,805.90

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Solution

The fourth proportional to 161,709.10, 242,563.65 and 102,805.90 is: 154,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,709.10 : 242,563.65 = 102,805.90 : x
  2. Step 2: Convert to fraction form
    161,709.10/242,563.65 = 102,805.90/x
  3. Step 3: Cross multiply
    161,709.10x = 242,563.65 × 102,805.90
  4. Step 4: Simplify right side
    161,709.10x = 24,936,974,345.54
  5. Step 5: Solve for x
    x = 24,936,974,345.54/161,709.10
  6. Step 6: Final answer
    x = 154,208.85

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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.