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Finding the Fourth Proportional to 172,022.70, 258,034.05 and 153,651.90

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Solution

The fourth proportional to 172,022.70, 258,034.05 and 153,651.90 is: 230,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,022.70 : 258,034.05 = 153,651.90 : x
  2. Step 2: Convert to fraction form
    172,022.70/258,034.05 = 153,651.90/x
  3. Step 3: Cross multiply
    172,022.70x = 258,034.05 × 153,651.90
  4. Step 4: Simplify right side
    172,022.70x = 39,647,422,047.20
  5. Step 5: Solve for x
    x = 39,647,422,047.20/172,022.70
  6. Step 6: Final answer
    x = 230,477.85

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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.