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Finding the Fourth Proportional to 243,408.09, 365,146.68 and 74,942.42

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Solution

The fourth proportional to 243,408.09, 365,146.68 and 74,942.42 is: 112,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,408.09 : 365,146.68 = 74,942.42 : x
  2. Step 2: Convert to fraction form
    243,408.09/365,146.68 = 74,942.42/x
  3. Step 3: Cross multiply
    243,408.09x = 365,146.68 × 74,942.42
  4. Step 4: Simplify right side
    243,408.09x = 27,364,974,309.47
  5. Step 5: Solve for x
    x = 27,364,974,309.47/243,408.09
  6. Step 6: Final answer
    x = 112,424.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.