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Finding the Fourth Proportional to 71,919.62, 99,231.81 and 46,420.58

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Solution

The fourth proportional to 71,919.62, 99,231.81 and 46,420.58 is: 64,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,919.62 : 99,231.81 = 46,420.58 : x
  2. Step 2: Convert to fraction form
    71,919.62/99,231.81 = 46,420.58/x
  3. Step 3: Cross multiply
    71,919.62x = 99,231.81 × 46,420.58
  4. Step 4: Simplify right side
    71,919.62x = 4,606,398,174.65
  5. Step 5: Solve for x
    x = 4,606,398,174.65/71,919.62
  6. Step 6: Final answer
    x = 64,049.26

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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.