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Finding the Fourth Proportional to 71,100, 106,669.74 and 31,111.82

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Solution

The fourth proportional to 71,100, 106,669.74 and 31,111.82 is: 46,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,100 : 106,669.74 = 31,111.82 : x
  2. Step 2: Convert to fraction form
    71,100/106,669.74 = 31,111.82/x
  3. Step 3: Cross multiply
    71,100x = 106,669.74 × 31,111.82
  4. Step 4: Simplify right side
    71,100x = 3,318,689,733.66
  5. Step 5: Solve for x
    x = 3,318,689,733.66/71,100
  6. Step 6: Final answer
    x = 46,676.37

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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.