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Finding the Fourth Proportional to 307,872, 461,885.76 and 86,256

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Solution

The fourth proportional to 307,872, 461,885.76 and 86,256 is: 129,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,872 : 461,885.76 = 86,256 : x
  2. Step 2: Convert to fraction form
    307,872/461,885.76 = 86,256/x
  3. Step 3: Cross multiply
    307,872x = 461,885.76 × 86,256
  4. Step 4: Simplify right side
    307,872x = 39,840,418,114.56
  5. Step 5: Solve for x
    x = 39,840,418,114.56/307,872
  6. Step 6: Final answer
    x = 129,405.79

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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.