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Finding the Fourth Proportional to 70,819.83, 106,180.53 and 31,355.42

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Solution

The fourth proportional to 70,819.83, 106,180.53 and 31,355.42 is: 47,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,819.83 : 106,180.53 = 31,355.42 : x
  2. Step 2: Convert to fraction form
    70,819.83/106,180.53 = 31,355.42/x
  3. Step 3: Cross multiply
    70,819.83x = 106,180.53 × 31,355.42
  4. Step 4: Simplify right side
    70,819.83x = 3,329,334,583.07
  5. Step 5: Solve for x
    x = 3,329,334,583.07/70,819.83
  6. Step 6: Final answer
    x = 47,011.33

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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.