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Finding the Fourth Proportional to 172,953.10, 259,285.65 and 73,189.90

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Solution

The fourth proportional to 172,953.10, 259,285.65 and 73,189.90 is: 109,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,953.10 : 259,285.65 = 73,189.90 : x
  2. Step 2: Convert to fraction form
    172,953.10/259,285.65 = 73,189.90/x
  3. Step 3: Cross multiply
    172,953.10x = 259,285.65 × 73,189.90
  4. Step 4: Simplify right side
    172,953.10x = 18,977,090,794.94
  5. Step 5: Solve for x
    x = 18,977,090,794.94/172,953.10
  6. Step 6: Final answer
    x = 109,723.91

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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.