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Finding the Fourth Proportional to 70,819.38, 106,179.86 and 31,354.98

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Solution

The fourth proportional to 70,819.38, 106,179.86 and 31,354.98 is: 47,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,819.38 : 106,179.86 = 31,354.98 : x
  2. Step 2: Convert to fraction form
    70,819.38/106,179.86 = 31,354.98/x
  3. Step 3: Cross multiply
    70,819.38x = 106,179.86 × 31,354.98
  4. Step 4: Simplify right side
    70,819.38x = 3,329,267,386.70
  5. Step 5: Solve for x
    x = 3,329,267,386.70/70,819.38
  6. Step 6: Final answer
    x = 47,010.68

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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.