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Finding the Fourth Proportional to 72,849.53, 100,435.41 and 54,622.71

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Solution

The fourth proportional to 72,849.53, 100,435.41 and 54,622.71 is: 75,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,849.53 : 100,435.41 = 54,622.71 : x
  2. Step 2: Convert to fraction form
    72,849.53/100,435.41 = 54,622.71/x
  3. Step 3: Cross multiply
    72,849.53x = 100,435.41 × 54,622.71
  4. Step 4: Simplify right side
    72,849.53x = 5,486,054,274.16
  5. Step 5: Solve for x
    x = 5,486,054,274.16/72,849.53
  6. Step 6: Final answer
    x = 75,306.65

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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.