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Finding the Fourth Proportional to 143,757.72, 215,639.10 and 47,695.50

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Solution

The fourth proportional to 143,757.72, 215,639.10 and 47,695.50 is: 71,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,757.72 : 215,639.10 = 47,695.50 : x
  2. Step 2: Convert to fraction form
    143,757.72/215,639.10 = 47,695.50/x
  3. Step 3: Cross multiply
    143,757.72x = 215,639.10 × 47,695.50
  4. Step 4: Simplify right side
    143,757.72x = 10,285,014,694.05
  5. Step 5: Solve for x
    x = 10,285,014,694.05/143,757.72
  6. Step 6: Final answer
    x = 71,544.09

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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.