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Finding the Fourth Proportional to 74,077.92, 102,227.64 and 42,246

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Solution

The fourth proportional to 74,077.92, 102,227.64 and 42,246 is: 58,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,077.92 : 102,227.64 = 42,246 : x
  2. Step 2: Convert to fraction form
    74,077.92/102,227.64 = 42,246/x
  3. Step 3: Cross multiply
    74,077.92x = 102,227.64 × 42,246
  4. Step 4: Simplify right side
    74,077.92x = 4,318,708,879.44
  5. Step 5: Solve for x
    x = 4,318,708,879.44/74,077.92
  6. Step 6: Final answer
    x = 58,299.54

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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.