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Finding the Fourth Proportional to 205,488, 308,232 and 57,744

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Solution

The fourth proportional to 205,488, 308,232 and 57,744 is: 86,616

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,488 : 308,232 = 57,744 : x
  2. Step 2: Convert to fraction form
    205,488/308,232 = 57,744/x
  3. Step 3: Cross multiply
    205,488x = 308,232 × 57,744
  4. Step 4: Simplify right side
    205,488x = 17,798,548,608
  5. Step 5: Solve for x
    x = 17,798,548,608/205,488
  6. Step 6: Final answer
    x = 86,616

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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.