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Finding the Fourth Proportional to 74,640.32, 102,999.84 and 41,099.84

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Solution

The fourth proportional to 74,640.32, 102,999.84 and 41,099.84 is: 56,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,640.32 : 102,999.84 = 41,099.84 : x
  2. Step 2: Convert to fraction form
    74,640.32/102,999.84 = 41,099.84/x
  3. Step 3: Cross multiply
    74,640.32x = 102,999.84 × 41,099.84
  4. Step 4: Simplify right side
    74,640.32x = 4,233,276,944.03
  5. Step 5: Solve for x
    x = 4,233,276,944.03/74,640.32
  6. Step 6: Final answer
    x = 56,715.69

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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.