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Finding the Fourth Proportional to 74,474, 102,774.16 and 40,942.16

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Solution

The fourth proportional to 74,474, 102,774.16 and 40,942.16 is: 56,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,474 : 102,774.16 = 40,942.16 : x
  2. Step 2: Convert to fraction form
    74,474/102,774.16 = 40,942.16/x
  3. Step 3: Cross multiply
    74,474x = 102,774.16 × 40,942.16
  4. Step 4: Simplify right side
    74,474x = 4,207,796,102.59
  5. Step 5: Solve for x
    x = 4,207,796,102.59/74,474
  6. Step 6: Final answer
    x = 56,500.20

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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.