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Finding the Fourth Proportional to 115,010, 172,515 and 31,904

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Solution

The fourth proportional to 115,010, 172,515 and 31,904 is: 47,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,010 : 172,515 = 31,904 : x
  2. Step 2: Convert to fraction form
    115,010/172,515 = 31,904/x
  3. Step 3: Cross multiply
    115,010x = 172,515 × 31,904
  4. Step 4: Simplify right side
    115,010x = 5,503,918,560
  5. Step 5: Solve for x
    x = 5,503,918,560/115,010
  6. Step 6: Final answer
    x = 47,856

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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.