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Finding the Fourth Proportional to 132,462, 198,644.40 and 43,689.24

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Solution

The fourth proportional to 132,462, 198,644.40 and 43,689.24 is: 65,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,462 : 198,644.40 = 43,689.24 : x
  2. Step 2: Convert to fraction form
    132,462/198,644.40 = 43,689.24/x
  3. Step 3: Cross multiply
    132,462x = 198,644.40 × 43,689.24
  4. Step 4: Simplify right side
    132,462x = 8,678,622,866.26
  5. Step 5: Solve for x
    x = 8,678,622,866.26/132,462
  6. Step 6: Final answer
    x = 65,517.83

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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.