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Finding the Fourth Proportional to 71,101.70, 106,672.32 and 31,113.56

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Solution

The fourth proportional to 71,101.70, 106,672.32 and 31,113.56 is: 46,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,101.70 : 106,672.32 = 31,113.56 : x
  2. Step 2: Convert to fraction form
    71,101.70/106,672.32 = 31,113.56/x
  3. Step 3: Cross multiply
    71,101.70x = 106,672.32 × 31,113.56
  4. Step 4: Simplify right side
    71,101.70x = 3,318,955,095.30
  5. Step 5: Solve for x
    x = 3,318,955,095.30/71,101.70
  6. Step 6: Final answer
    x = 46,678.99

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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.