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Finding the Fourth Proportional to 99,576, 149,311.20 and 29,445.60

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Solution

The fourth proportional to 99,576, 149,311.20 and 29,445.60 is: 44,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,576 : 149,311.20 = 29,445.60 : x
  2. Step 2: Convert to fraction form
    99,576/149,311.20 = 29,445.60/x
  3. Step 3: Cross multiply
    99,576x = 149,311.20 × 29,445.60
  4. Step 4: Simplify right side
    99,576x = 4,396,557,870.72
  5. Step 5: Solve for x
    x = 4,396,557,870.72/99,576
  6. Step 6: Final answer
    x = 44,152.79

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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.