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Finding the Fourth Proportional to 115,008, 172,512 and 31,902

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Solution

The fourth proportional to 115,008, 172,512 and 31,902 is: 47,853

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,008 : 172,512 = 31,902 : x
  2. Step 2: Convert to fraction form
    115,008/172,512 = 31,902/x
  3. Step 3: Cross multiply
    115,008x = 172,512 × 31,902
  4. Step 4: Simplify right side
    115,008x = 5,503,477,824
  5. Step 5: Solve for x
    x = 5,503,477,824/115,008
  6. Step 6: Final answer
    x = 47,853

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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.