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Finding the Fourth Proportional to 258,216, 387,324 and 83,112

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Solution

The fourth proportional to 258,216, 387,324 and 83,112 is: 124,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,216 : 387,324 = 83,112 : x
  2. Step 2: Convert to fraction form
    258,216/387,324 = 83,112/x
  3. Step 3: Cross multiply
    258,216x = 387,324 × 83,112
  4. Step 4: Simplify right side
    258,216x = 32,191,272,288
  5. Step 5: Solve for x
    x = 32,191,272,288/258,216
  6. Step 6: Final answer
    x = 124,668

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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.