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Finding the Fourth Proportional to 231,078, 346,617 and 83,334

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Solution

The fourth proportional to 231,078, 346,617 and 83,334 is: 125,001

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,078 : 346,617 = 83,334 : x
  2. Step 2: Convert to fraction form
    231,078/346,617 = 83,334/x
  3. Step 3: Cross multiply
    231,078x = 346,617 × 83,334
  4. Step 4: Simplify right side
    231,078x = 28,884,981,078
  5. Step 5: Solve for x
    x = 28,884,981,078/231,078
  6. Step 6: Final answer
    x = 125,001

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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.