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Finding the Fourth Proportional to 142,687.56, 213,834.50 and 107,588.64

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Solution

The fourth proportional to 142,687.56, 213,834.50 and 107,588.64 is: 161,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,687.56 : 213,834.50 = 107,588.64 : x
  2. Step 2: Convert to fraction form
    142,687.56/213,834.50 = 107,588.64/x
  3. Step 3: Cross multiply
    142,687.56x = 213,834.50 × 107,588.64
  4. Step 4: Simplify right side
    142,687.56x = 23,006,163,040.08
  5. Step 5: Solve for x
    x = 23,006,163,040.08/142,687.56
  6. Step 6: Final answer
    x = 161,234.54

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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.