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Finding the Fourth Proportional to 115,000, 172,500 and 31,894

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Solution

The fourth proportional to 115,000, 172,500 and 31,894 is: 47,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,000 : 172,500 = 31,894 : x
  2. Step 2: Convert to fraction form
    115,000/172,500 = 31,894/x
  3. Step 3: Cross multiply
    115,000x = 172,500 × 31,894
  4. Step 4: Simplify right side
    115,000x = 5,501,715,000
  5. Step 5: Solve for x
    x = 5,501,715,000/115,000
  6. Step 6: Final answer
    x = 47,841

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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.