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Finding the Fourth Proportional to 213,791.40, 320,468.40 and 124,999.20

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Solution

The fourth proportional to 213,791.40, 320,468.40 and 124,999.20 is: 187,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,791.40 : 320,468.40 = 124,999.20 : x
  2. Step 2: Convert to fraction form
    213,791.40/320,468.40 = 124,999.20/x
  3. Step 3: Cross multiply
    213,791.40x = 320,468.40 × 124,999.20
  4. Step 4: Simplify right side
    213,791.40x = 40,058,293,625.28
  5. Step 5: Solve for x
    x = 40,058,293,625.28/213,791.40
  6. Step 6: Final answer
    x = 187,370.93

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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.