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Finding the Fourth Proportional to 74,083.76, 102,234.76 and 40,091.48

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Solution

The fourth proportional to 74,083.76, 102,234.76 and 40,091.48 is: 55,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,083.76 : 102,234.76 = 40,091.48 : x
  2. Step 2: Convert to fraction form
    74,083.76/102,234.76 = 40,091.48/x
  3. Step 3: Cross multiply
    74,083.76x = 102,234.76 × 40,091.48
  4. Step 4: Simplify right side
    74,083.76x = 4,098,742,835.84
  5. Step 5: Solve for x
    x = 4,098,742,835.84/74,083.76
  6. Step 6: Final answer
    x = 55,325.79

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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.