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Finding the Fourth Proportional to 115,006, 172,509 and 31,900

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Solution

The fourth proportional to 115,006, 172,509 and 31,900 is: 47,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,006 : 172,509 = 31,900 : x
  2. Step 2: Convert to fraction form
    115,006/172,509 = 31,900/x
  3. Step 3: Cross multiply
    115,006x = 172,509 × 31,900
  4. Step 4: Simplify right side
    115,006x = 5,503,037,100
  5. Step 5: Solve for x
    x = 5,503,037,100/115,006
  6. Step 6: Final answer
    x = 47,850

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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.