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Finding the Fourth Proportional to 114,840, 172,260 and 31,734

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Solution

The fourth proportional to 114,840, 172,260 and 31,734 is: 47,601

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,840 : 172,260 = 31,734 : x
  2. Step 2: Convert to fraction form
    114,840/172,260 = 31,734/x
  3. Step 3: Cross multiply
    114,840x = 172,260 × 31,734
  4. Step 4: Simplify right side
    114,840x = 5,466,498,840
  5. Step 5: Solve for x
    x = 5,466,498,840/114,840
  6. Step 6: Final answer
    x = 47,601

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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.