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Finding the Fourth Proportional to 114,880, 172,320 and 31,774

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Solution

The fourth proportional to 114,880, 172,320 and 31,774 is: 47,661

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,880 : 172,320 = 31,774 : x
  2. Step 2: Convert to fraction form
    114,880/172,320 = 31,774/x
  3. Step 3: Cross multiply
    114,880x = 172,320 × 31,774
  4. Step 4: Simplify right side
    114,880x = 5,475,295,680
  5. Step 5: Solve for x
    x = 5,475,295,680/114,880
  6. Step 6: Final answer
    x = 47,661

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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.