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Finding the Fourth Proportional to 72,013.64, 108,096.54 and 40,450.68

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Solution

The fourth proportional to 72,013.64, 108,096.54 and 40,450.68 is: 60,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,013.64 : 108,096.54 = 40,450.68 : x
  2. Step 2: Convert to fraction form
    72,013.64/108,096.54 = 40,450.68/x
  3. Step 3: Cross multiply
    72,013.64x = 108,096.54 × 40,450.68
  4. Step 4: Simplify right side
    72,013.64x = 4,372,578,548.65
  5. Step 5: Solve for x
    x = 4,372,578,548.65/72,013.64
  6. Step 6: Final answer
    x = 60,718.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.