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Finding the Fourth Proportional to 71,173.91, 106,790.51 and 31,221.59

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Solution

The fourth proportional to 71,173.91, 106,790.51 and 31,221.59 is: 46,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,173.91 : 106,790.51 = 31,221.59 : x
  2. Step 2: Convert to fraction form
    71,173.91/106,790.51 = 31,221.59/x
  3. Step 3: Cross multiply
    71,173.91x = 106,790.51 × 31,221.59
  4. Step 4: Simplify right side
    71,173.91x = 3,334,169,519.11
  5. Step 5: Solve for x
    x = 3,334,169,519.11/71,173.91
  6. Step 6: Final answer
    x = 46,845.39

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1.5x scale

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.