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Finding the Fourth Proportional to 72,121.93, 108,178.03 and 30,568.93

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Solution

The fourth proportional to 72,121.93, 108,178.03 and 30,568.93 is: 45,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,121.93 : 108,178.03 = 30,568.93 : x
  2. Step 2: Convert to fraction form
    72,121.93/108,178.03 = 30,568.93/x
  3. Step 3: Cross multiply
    72,121.93x = 108,178.03 × 30,568.93
  4. Step 4: Simplify right side
    72,121.93x = 3,306,886,626.61
  5. Step 5: Solve for x
    x = 3,306,886,626.61/72,121.93
  6. Step 6: Final answer
    x = 45,851.33

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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.