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Finding the Fourth Proportional to 75,121.91, 103,664.12 and 41,123.82

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Solution

The fourth proportional to 75,121.91, 103,664.12 and 41,123.82 is: 56,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,121.91 : 103,664.12 = 41,123.82 : x
  2. Step 2: Convert to fraction form
    75,121.91/103,664.12 = 41,123.82/x
  3. Step 3: Cross multiply
    75,121.91x = 103,664.12 × 41,123.82
  4. Step 4: Simplify right side
    75,121.91x = 4,263,064,611.34
  5. Step 5: Solve for x
    x = 4,263,064,611.34/75,121.91
  6. Step 6: Final answer
    x = 56,748.62

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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.