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Finding the Fourth Proportional to 142,651.68, 214,026.32 and 53,930.72

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Solution

The fourth proportional to 142,651.68, 214,026.32 and 53,930.72 is: 80,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,651.68 : 214,026.32 = 53,930.72 : x
  2. Step 2: Convert to fraction form
    142,651.68/214,026.32 = 53,930.72/x
  3. Step 3: Cross multiply
    142,651.68x = 214,026.32 × 53,930.72
  4. Step 4: Simplify right side
    142,651.68x = 11,542,593,536.55
  5. Step 5: Solve for x
    x = 11,542,593,536.55/142,651.68
  6. Step 6: Final answer
    x = 80,914.53

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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.