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Finding the Fourth Proportional to 142,582, 196,815.08 and 82,966

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Solution

The fourth proportional to 142,582, 196,815.08 and 82,966 is: 114,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,582 : 196,815.08 = 82,966 : x
  2. Step 2: Convert to fraction form
    142,582/196,815.08 = 82,966/x
  3. Step 3: Cross multiply
    142,582x = 196,815.08 × 82,966
  4. Step 4: Simplify right side
    142,582x = 16,328,959,927.28
  5. Step 5: Solve for x
    x = 16,328,959,927.28/142,582
  6. Step 6: Final answer
    x = 114,523.29

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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.