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Finding the Fourth Proportional to 74,236, 102,446.22 and 40,702

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Solution

The fourth proportional to 74,236, 102,446.22 and 40,702 is: 56,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,236 : 102,446.22 = 40,702 : x
  2. Step 2: Convert to fraction form
    74,236/102,446.22 = 40,702/x
  3. Step 3: Cross multiply
    74,236x = 102,446.22 × 40,702
  4. Step 4: Simplify right side
    74,236x = 4,169,766,046.44
  5. Step 5: Solve for x
    x = 4,169,766,046.44/74,236
  6. Step 6: Final answer
    x = 56,169.06

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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.