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Finding the Fourth Proportional to 71,262.72, 106,861.14 and 31,820.04

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Solution

The fourth proportional to 71,262.72, 106,861.14 and 31,820.04 is: 47,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,262.72 : 106,861.14 = 31,820.04 : x
  2. Step 2: Convert to fraction form
    71,262.72/106,861.14 = 31,820.04/x
  3. Step 3: Cross multiply
    71,262.72x = 106,861.14 × 31,820.04
  4. Step 4: Simplify right side
    71,262.72x = 3,400,325,749.25
  5. Step 5: Solve for x
    x = 3,400,325,749.25/71,262.72
  6. Step 6: Final answer
    x = 47,715.35

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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.