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Finding the Fourth Proportional to 114,384, 171,588 and 31,278

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Solution

The fourth proportional to 114,384, 171,588 and 31,278 is: 46,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,384 : 171,588 = 31,278 : x
  2. Step 2: Convert to fraction form
    114,384/171,588 = 31,278/x
  3. Step 3: Cross multiply
    114,384x = 171,588 × 31,278
  4. Step 4: Simplify right side
    114,384x = 5,366,929,464
  5. Step 5: Solve for x
    x = 5,366,929,464/114,384
  6. Step 6: Final answer
    x = 46,920.28

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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.