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Finding the Fourth Proportional to 71,037.60, 106,537.90 and 21,105.96

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Solution

The fourth proportional to 71,037.60, 106,537.90 and 21,105.96 is: 31,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,037.60 : 106,537.90 = 21,105.96 : x
  2. Step 2: Convert to fraction form
    71,037.60/106,537.90 = 21,105.96/x
  3. Step 3: Cross multiply
    71,037.60x = 106,537.90 × 21,105.96
  4. Step 4: Simplify right side
    71,037.60x = 2,248,584,655.88
  5. Step 5: Solve for x
    x = 2,248,584,655.88/71,037.60
  6. Step 6: Final answer
    x = 31,653.44

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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.