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Finding the Fourth Proportional to 142,273.44, 213,472.08 and 67,446

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Solution

The fourth proportional to 142,273.44, 213,472.08 and 67,446 is: 101,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,273.44 : 213,472.08 = 67,446 : x
  2. Step 2: Convert to fraction form
    142,273.44/213,472.08 = 67,446/x
  3. Step 3: Cross multiply
    142,273.44x = 213,472.08 × 67,446
  4. Step 4: Simplify right side
    142,273.44x = 14,397,837,907.68
  5. Step 5: Solve for x
    x = 14,397,837,907.68/142,273.44
  6. Step 6: Final answer
    x = 101,198.35

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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.