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Finding the Fourth Proportional to 132,880, 199,320.72 and 34,384

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Solution

The fourth proportional to 132,880, 199,320.72 and 34,384 is: 51,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,880 : 199,320.72 = 34,384 : x
  2. Step 2: Convert to fraction form
    132,880/199,320.72 = 34,384/x
  3. Step 3: Cross multiply
    132,880x = 199,320.72 × 34,384
  4. Step 4: Simplify right side
    132,880x = 6,853,443,636.48
  5. Step 5: Solve for x
    x = 6,853,443,636.48/132,880
  6. Step 6: Final answer
    x = 51,576.19

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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.