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Finding the Fourth Proportional to 74,508.58, 102,819.79 and 40,974.58

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Solution

The fourth proportional to 74,508.58, 102,819.79 and 40,974.58 is: 56,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,508.58 : 102,819.79 = 40,974.58 : x
  2. Step 2: Convert to fraction form
    74,508.58/102,819.79 = 40,974.58/x
  3. Step 3: Cross multiply
    74,508.58x = 102,819.79 × 40,974.58
  4. Step 4: Simplify right side
    74,508.58x = 4,212,997,710.94
  5. Step 5: Solve for x
    x = 4,212,997,710.94/74,508.58
  6. Step 6: Final answer
    x = 56,543.79

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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.