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Finding the Fourth Proportional to 142,696.72, 213,983.04 and 76,122

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Solution

The fourth proportional to 142,696.72, 213,983.04 and 76,122 is: 114,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,696.72 : 213,983.04 = 76,122 : x
  2. Step 2: Convert to fraction form
    142,696.72/213,983.04 = 76,122/x
  3. Step 3: Cross multiply
    142,696.72x = 213,983.04 × 76,122
  4. Step 4: Simplify right side
    142,696.72x = 16,288,816,970.88
  5. Step 5: Solve for x
    x = 16,288,816,970.88/142,696.72
  6. Step 6: Final answer
    x = 114,149.90

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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.