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Finding the Fourth Proportional to 231,221.68, 346,860.28 and 81,431

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Solution

The fourth proportional to 231,221.68, 346,860.28 and 81,431 is: 122,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,221.68 : 346,860.28 = 81,431 : x
  2. Step 2: Convert to fraction form
    231,221.68/346,860.28 = 81,431/x
  3. Step 3: Cross multiply
    231,221.68x = 346,860.28 × 81,431
  4. Step 4: Simplify right side
    231,221.68x = 28,245,179,460.68
  5. Step 5: Solve for x
    x = 28,245,179,460.68/231,221.68
  6. Step 6: Final answer
    x = 122,156.28

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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.