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Finding the Fourth Proportional to 307,872.32, 461,835.68 and 86,256.96

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Solution

The fourth proportional to 307,872.32, 461,835.68 and 86,256.96 is: 129,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,872.32 : 461,835.68 = 86,256.96 : x
  2. Step 2: Convert to fraction form
    307,872.32/461,835.68 = 86,256.96/x
  3. Step 3: Cross multiply
    307,872.32x = 461,835.68 × 86,256.96
  4. Step 4: Simplify right side
    307,872.32x = 39,836,541,776.33
  5. Step 5: Solve for x
    x = 39,836,541,776.33/307,872.32
  6. Step 6: Final answer
    x = 129,393.06

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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.