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Finding the Fourth Proportional to 71,165.62, 106,748.43 and 31,223.71

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Solution

The fourth proportional to 71,165.62, 106,748.43 and 31,223.71 is: 46,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,165.62 : 106,748.43 = 31,223.71 : x
  2. Step 2: Convert to fraction form
    71,165.62/106,748.43 = 31,223.71/x
  3. Step 3: Cross multiply
    71,165.62x = 106,748.43 × 31,223.71
  4. Step 4: Simplify right side
    71,165.62x = 3,333,082,021.28
  5. Step 5: Solve for x
    x = 3,333,082,021.28/71,165.62
  6. Step 6: Final answer
    x = 46,835.57

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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.