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Finding the Fourth Proportional to 172,689.50, 259,022.36 and 106,139.90

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Solution

The fourth proportional to 172,689.50, 259,022.36 and 106,139.90 is: 159,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,689.50 : 259,022.36 = 106,139.90 : x
  2. Step 2: Convert to fraction form
    172,689.50/259,022.36 = 106,139.90/x
  3. Step 3: Cross multiply
    172,689.50x = 259,022.36 × 106,139.90
  4. Step 4: Simplify right side
    172,689.50x = 27,492,607,388.16
  5. Step 5: Solve for x
    x = 27,492,607,388.16/172,689.50
  6. Step 6: Final answer
    x = 159,202.54

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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.