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Finding the Fourth Proportional to 72,923, 100,633.78 and 39,389

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Solution

The fourth proportional to 72,923, 100,633.78 and 39,389 is: 54,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,923 : 100,633.78 = 39,389 : x
  2. Step 2: Convert to fraction form
    72,923/100,633.78 = 39,389/x
  3. Step 3: Cross multiply
    72,923x = 100,633.78 × 39,389
  4. Step 4: Simplify right side
    72,923x = 3,963,863,960.42
  5. Step 5: Solve for x
    x = 3,963,863,960.42/72,923
  6. Step 6: Final answer
    x = 54,356.84

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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.