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Finding the Fourth Proportional to 55,741, 76,922.70 and 30,590.44

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Solution

The fourth proportional to 55,741, 76,922.70 and 30,590.44 is: 42,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,741 : 76,922.70 = 30,590.44 : x
  2. Step 2: Convert to fraction form
    55,741/76,922.70 = 30,590.44/x
  3. Step 3: Cross multiply
    55,741x = 76,922.70 × 30,590.44
  4. Step 4: Simplify right side
    55,741x = 2,353,099,238.99
  5. Step 5: Solve for x
    x = 2,353,099,238.99/55,741
  6. Step 6: Final answer
    x = 42,214.87

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1.5x scale

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.