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Finding the Fourth Proportional to 71,135.70, 106,708.95 and 21,211.89

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Solution

The fourth proportional to 71,135.70, 106,708.95 and 21,211.89 is: 31,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,135.70 : 106,708.95 = 21,211.89 : x
  2. Step 2: Convert to fraction form
    71,135.70/106,708.95 = 21,211.89/x
  3. Step 3: Cross multiply
    71,135.70x = 106,708.95 × 21,211.89
  4. Step 4: Simplify right side
    71,135.70x = 2,263,498,509.42
  5. Step 5: Solve for x
    x = 2,263,498,509.42/71,135.70
  6. Step 6: Final answer
    x = 31,819.45

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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.