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Finding the Fourth Proportional to 132,384.21, 182,691.44 and 71,955

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Solution

The fourth proportional to 132,384.21, 182,691.44 and 71,955 is: 99,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,384.21 : 182,691.44 = 71,955 : x
  2. Step 2: Convert to fraction form
    132,384.21/182,691.44 = 71,955/x
  3. Step 3: Cross multiply
    132,384.21x = 182,691.44 × 71,955
  4. Step 4: Simplify right side
    132,384.21x = 13,145,562,205.43
  5. Step 5: Solve for x
    x = 13,145,562,205.43/132,384.21
  6. Step 6: Final answer
    x = 99,298.57

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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.