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Finding the Fourth Proportional to 132,142.92, 182,358.57 and 71,714.09

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Solution

The fourth proportional to 132,142.92, 182,358.57 and 71,714.09 is: 98,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,142.92 : 182,358.57 = 71,714.09 : x
  2. Step 2: Convert to fraction form
    132,142.92/182,358.57 = 71,714.09/x
  3. Step 3: Cross multiply
    132,142.92x = 182,358.57 × 71,714.09
  4. Step 4: Simplify right side
    132,142.92x = 13,077,677,630.89
  5. Step 5: Solve for x
    x = 13,077,677,630.89/132,142.92
  6. Step 6: Final answer
    x = 98,966.16

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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.