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Finding the Fourth Proportional to 71,689.46, 98,922.06 and 39,852

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Solution

The fourth proportional to 71,689.46, 98,922.06 and 39,852 is: 54,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,689.46 : 98,922.06 = 39,852 : x
  2. Step 2: Convert to fraction form
    71,689.46/98,922.06 = 39,852/x
  3. Step 3: Cross multiply
    71,689.46x = 98,922.06 × 39,852
  4. Step 4: Simplify right side
    71,689.46x = 3,942,241,935.12
  5. Step 5: Solve for x
    x = 3,942,241,935.12/71,689.46
  6. Step 6: Final answer
    x = 54,990.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.