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Finding the Fourth Proportional to 132,257.40, 182,515.32 and 71,827.80

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Solution

The fourth proportional to 132,257.40, 182,515.32 and 71,827.80 is: 99,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,257.40 : 182,515.32 = 71,827.80 : x
  2. Step 2: Convert to fraction form
    132,257.40/182,515.32 = 71,827.80/x
  3. Step 3: Cross multiply
    132,257.40x = 182,515.32 × 71,827.80
  4. Step 4: Simplify right side
    132,257.40x = 13,109,673,901.90
  5. Step 5: Solve for x
    x = 13,109,673,901.90/132,257.40
  6. Step 6: Final answer
    x = 99,122.42

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