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Finding the Fourth Proportional to 100,728, 139,007.70 and 55,403.64

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Solution

The fourth proportional to 100,728, 139,007.70 and 55,403.64 is: 76,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,728 : 139,007.70 = 55,403.64 : x
  2. Step 2: Convert to fraction form
    100,728/139,007.70 = 55,403.64/x
  3. Step 3: Cross multiply
    100,728x = 139,007.70 × 55,403.64
  4. Step 4: Simplify right side
    100,728x = 7,701,532,568.03
  5. Step 5: Solve for x
    x = 7,701,532,568.03/100,728
  6. Step 6: Final answer
    x = 76,458.71

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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.