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Finding the Fourth Proportional to 142,745.42, 214,049.79 and 47,949.30

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Solution

The fourth proportional to 142,745.42, 214,049.79 and 47,949.30 is: 71,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,745.42 : 214,049.79 = 47,949.30 : x
  2. Step 2: Convert to fraction form
    142,745.42/214,049.79 = 47,949.30/x
  3. Step 3: Cross multiply
    142,745.42x = 214,049.79 × 47,949.30
  4. Step 4: Simplify right side
    142,745.42x = 10,263,537,595.65
  5. Step 5: Solve for x
    x = 10,263,537,595.65/142,745.42
  6. Step 6: Final answer
    x = 71,900.99

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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.