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Finding the Fourth Proportional to 74,942.84, 103,419.87 and 40,950.58

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Solution

The fourth proportional to 74,942.84, 103,419.87 and 40,950.58 is: 56,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,942.84 : 103,419.87 = 40,950.58 : x
  2. Step 2: Convert to fraction form
    74,942.84/103,419.87 = 40,950.58/x
  3. Step 3: Cross multiply
    74,942.84x = 103,419.87 × 40,950.58
  4. Step 4: Simplify right side
    74,942.84x = 4,235,103,660.02
  5. Step 5: Solve for x
    x = 4,235,103,660.02/74,942.84
  6. Step 6: Final answer
    x = 56,511.12

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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.