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Finding the Fourth Proportional to 231,070, 346,605 and 83,326

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Solution

The fourth proportional to 231,070, 346,605 and 83,326 is: 124,989

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,070 : 346,605 = 83,326 : x
  2. Step 2: Convert to fraction form
    231,070/346,605 = 83,326/x
  3. Step 3: Cross multiply
    231,070x = 346,605 × 83,326
  4. Step 4: Simplify right side
    231,070x = 28,881,208,230
  5. Step 5: Solve for x
    x = 28,881,208,230/231,070
  6. Step 6: Final answer
    x = 124,989

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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.