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Finding the Fourth Proportional to 74,399.86, 102,672.55 and 40,409.01

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Solution

The fourth proportional to 74,399.86, 102,672.55 and 40,409.01 is: 55,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,399.86 : 102,672.55 = 40,409.01 : x
  2. Step 2: Convert to fraction form
    74,399.86/102,672.55 = 40,409.01/x
  3. Step 3: Cross multiply
    74,399.86x = 102,672.55 × 40,409.01
  4. Step 4: Simplify right side
    74,399.86x = 4,148,896,099.68
  5. Step 5: Solve for x
    x = 4,148,896,099.68/74,399.86
  6. Step 6: Final answer
    x = 55,764.84

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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.