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Finding the Fourth Proportional to 231,646.68, 347,473.44 and 91,404

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Solution

The fourth proportional to 231,646.68, 347,473.44 and 91,404 is: 137,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,646.68 : 347,473.44 = 91,404 : x
  2. Step 2: Convert to fraction form
    231,646.68/347,473.44 = 91,404/x
  3. Step 3: Cross multiply
    231,646.68x = 347,473.44 × 91,404
  4. Step 4: Simplify right side
    231,646.68x = 31,760,462,309.76
  5. Step 5: Solve for x
    x = 31,760,462,309.76/231,646.68
  6. Step 6: Final answer
    x = 137,107.35

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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.