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Finding the Fourth Proportional to 114,966, 172,449 and 31,860

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Solution

The fourth proportional to 114,966, 172,449 and 31,860 is: 47,790

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,966 : 172,449 = 31,860 : x
  2. Step 2: Convert to fraction form
    114,966/172,449 = 31,860/x
  3. Step 3: Cross multiply
    114,966x = 172,449 × 31,860
  4. Step 4: Simplify right side
    114,966x = 5,494,225,140
  5. Step 5: Solve for x
    x = 5,494,225,140/114,966
  6. Step 6: Final answer
    x = 47,790

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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.