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Finding the Fourth Proportional to 77,284, 106,651.92 and 43,750

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Solution

The fourth proportional to 77,284, 106,651.92 and 43,750 is: 60,375

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284 : 106,651.92 = 43,750 : x
  2. Step 2: Convert to fraction form
    77,284/106,651.92 = 43,750/x
  3. Step 3: Cross multiply
    77,284x = 106,651.92 × 43,750
  4. Step 4: Simplify right side
    77,284x = 4,666,021,500
  5. Step 5: Solve for x
    x = 4,666,021,500/77,284
  6. Step 6: Final answer
    x = 60,375

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.