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Finding the Fourth Proportional to 142,691.80, 214,039.78 and 67,819.58

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Solution

The fourth proportional to 142,691.80, 214,039.78 and 67,819.58 is: 101,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,691.80 : 214,039.78 = 67,819.58 : x
  2. Step 2: Convert to fraction form
    142,691.80/214,039.78 = 67,819.58/x
  3. Step 3: Cross multiply
    142,691.80x = 214,039.78 × 67,819.58
  4. Step 4: Simplify right side
    142,691.80x = 14,516,087,982.89
  5. Step 5: Solve for x
    x = 14,516,087,982.89/142,691.80
  6. Step 6: Final answer
    x = 101,730.36

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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.