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Finding the Fourth Proportional to 75,234.10, 103,834.11 and 43,396.78

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Solution

The fourth proportional to 75,234.10, 103,834.11 and 43,396.78 is: 59,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,234.10 : 103,834.11 = 43,396.78 : x
  2. Step 2: Convert to fraction form
    75,234.10/103,834.11 = 43,396.78/x
  3. Step 3: Cross multiply
    75,234.10x = 103,834.11 × 43,396.78
  4. Step 4: Simplify right side
    75,234.10x = 4,506,066,028.17
  5. Step 5: Solve for x
    x = 4,506,066,028.17/75,234.10
  6. Step 6: Final answer
    x = 59,893.93

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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.