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Finding the Fourth Proportional to 146,760.78, 202,530 and 83,098.68

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Solution

The fourth proportional to 146,760.78, 202,530 and 83,098.68 is: 114,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,760.78 : 202,530 = 83,098.68 : x
  2. Step 2: Convert to fraction form
    146,760.78/202,530 = 83,098.68/x
  3. Step 3: Cross multiply
    146,760.78x = 202,530 × 83,098.68
  4. Step 4: Simplify right side
    146,760.78x = 16,829,975,660.40
  5. Step 5: Solve for x
    x = 16,829,975,660.40/146,760.78
  6. Step 6: Final answer
    x = 114,676.25

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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.