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Finding the Fourth Proportional to 74,506.82, 102,819.40 and 40,972.82

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Solution

The fourth proportional to 74,506.82, 102,819.40 and 40,972.82 is: 56,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,506.82 : 102,819.40 = 40,972.82 : x
  2. Step 2: Convert to fraction form
    74,506.82/102,819.40 = 40,972.82/x
  3. Step 3: Cross multiply
    74,506.82x = 102,819.40 × 40,972.82
  4. Step 4: Simplify right side
    74,506.82x = 4,212,800,768.71
  5. Step 5: Solve for x
    x = 4,212,800,768.71/74,506.82
  6. Step 6: Final answer
    x = 56,542.49

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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.