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Finding the Fourth Proportional to 74,135, 102,306.68 and 40,601

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Solution

The fourth proportional to 74,135, 102,306.68 and 40,601 is: 56,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,135 : 102,306.68 = 40,601 : x
  2. Step 2: Convert to fraction form
    74,135/102,306.68 = 40,601/x
  3. Step 3: Cross multiply
    74,135x = 102,306.68 × 40,601
  4. Step 4: Simplify right side
    74,135x = 4,153,753,514.68
  5. Step 5: Solve for x
    x = 4,153,753,514.68/74,135
  6. Step 6: Final answer
    x = 56,029.59

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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.