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Finding the Fourth Proportional to 146,142, 201,676.10 and 82,478.43

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Solution

The fourth proportional to 146,142, 201,676.10 and 82,478.43 is: 113,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,142 : 201,676.10 = 82,478.43 : x
  2. Step 2: Convert to fraction form
    146,142/201,676.10 = 82,478.43/x
  3. Step 3: Cross multiply
    146,142x = 201,676.10 × 82,478.43
  4. Step 4: Simplify right side
    146,142x = 16,633,927,684.13
  5. Step 5: Solve for x
    x = 16,633,927,684.13/146,142
  6. Step 6: Final answer
    x = 113,820.31

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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.