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Finding the Fourth Proportional to 125,211.44, 187,824 and 31,718

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Solution

The fourth proportional to 125,211.44, 187,824 and 31,718 is: 47,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,211.44 : 187,824 = 31,718 : x
  2. Step 2: Convert to fraction form
    125,211.44/187,824 = 31,718/x
  3. Step 3: Cross multiply
    125,211.44x = 187,824 × 31,718
  4. Step 4: Simplify right side
    125,211.44x = 5,957,401,632
  5. Step 5: Solve for x
    x = 5,957,401,632/125,211.44
  6. Step 6: Final answer
    x = 47,578.73

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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.