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Finding the Fourth Proportional to 132,381.36, 182,687.64 and 71,952

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Solution

The fourth proportional to 132,381.36, 182,687.64 and 71,952 is: 99,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,381.36 : 182,687.64 = 71,952 : x
  2. Step 2: Convert to fraction form
    132,381.36/182,687.64 = 71,952/x
  3. Step 3: Cross multiply
    132,381.36x = 182,687.64 × 71,952
  4. Step 4: Simplify right side
    132,381.36x = 13,144,741,073.28
  5. Step 5: Solve for x
    x = 13,144,741,073.28/132,381.36
  6. Step 6: Final answer
    x = 99,294.50

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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.